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# Acceleration

### Understanding Acceleration

Understanding Acceleration Automobile reviews often cite a vehicle's "0 to 60 time," or the time it takes for a car to go from rest to 60 mph. For example, a "0 to 60 time" of under 5 seconds is considered fast. (For a list of 0-60 times, see http://www.albeedigital.com/supercoupe/articles/0-60times.html.) a. What is the a

### A particle moves along a circular path having a radius of 2.0 meters.

A particle moves along a circular path having a radius of 2.0 meters. At an instant when the speed of the particle is equal to 3.0 m/s and changing at the rate of 5.0 m/s2, what is the magnitude of the total acceleration of the particle? a) 9.5 m/s2 b) 6.0 m/s2 c) 5.4 m/s2 d) 6.7 m/s2 e) 4.5 m/s2

### Motion on a Sphere Particles

Motion on a sphere. A particle of mass m is constrained to move on the surface of a sphere of radius R by an applied force F (a vector) and a function of Theta, Phi. Write the equation of motion.

### Jet Fighter Circular Acceleration in Vertical Plane

A jet fighter can withstand a max acceleration of 9g's; The plane is pointed vertically downward at Mach 3 and will be pulled from the dive in a circular manuver (befoe crashing). a. Where does max acceleration occur ? b. What is the minimum radius the pilot can take? Please show all details.

### Find the Components of the Acceleration Vector

A (acceleration) is an acceleration vector, find the components of this vector in spherical coordinates; please show all work, in detail, Not: a is a general vector in spherical cootdinates. the components can be expressed in terms of Theta, Phi and R

### Motion Diagram Description

(See attached file for full problem description with diagrams) 1. If an object is moving at a constant velocity, then we can assert that: a. there must be a force in the direction of the velocity b. there must be no force in the direction of the velocity c. there must be no net force Justify your answer! 2. To tight

### A Simple Harmonic Oscillator

A 10-g particle is undergoing simple harmonic motion with an amplitude of 2.0 x 10^-3 m and a maximum acceleration of magnitude 8.0 x 10^-3 m/s^2. The phase angle is -pi/3 rad. a) Write and equation for the force on the particle as a function of time. b) What is the period of the motion? c) What is the maximum speed of the p

### Vectors : Velocity and Acceleration

I am having trouble figuring out the velocity and acceleration vectors. I am given the form xi+yJ+zk where for example x(t) is (1-t)cos4 pi t y(t) = (1-t) sin 4 pi t z(t) = (1-t) t is supposed to be between 0 and 1 I know that v(t) is the first deriv. and a(t) is the second deriv. but I am not sure how to procee

### Motion along a straight line and free falling objects

This problem set contains 15 multiple choice questions on motion along a straight line. First three questions are typed below. 50. A stone is released from a balloon that is descending at a constant speed of 10 m/s. Neglecting air resistance, after 20 s the speed of the stone is: 51. An object dropped from the window of

### Motion Equations Required

Answers are given in attachment, but please set up each problem with the math equations needed and show step by step how to do each problems that involves math to get the answer given. Skip any problems that ask those questions that you have to pick a sentence answer. (See attached file for full problem description) 6. A

### What is the mass ratio of the boxes?

Two boxes are seen to accelerate at the same rate when a force F is applied to the first box and 4F is applied to the second box. What is the mass ratio of the boxes?

### Value of Acceleration

Sin x = .028 1. Plot instantaneous velocity vs. time on a graph and determine the slope of the line and the value of acceleration. Is my answer for the value of acceleration correct? If not, what is it? 2. By substituting the value of acceleration into a = gsinx, compute the experimental value of the gravitational

### Motion on a circular path. (horizontal and vertical)

1. The tub of a washer goes into its spin-dry cycle, starting from rest and reaching an angular speed of 3.0 rev/s in 7.0 s. At this point the person doing the laundry opens the lid, and a safety switch turns off the washer. The tub slows to rest in 10.0 s. Through how many revolutions does the tub turn during this 17 s interval

### Problem Set

(See attached file for full problem description) --- 2. The leg and cast in Figure P4.18 weigh 270 N, with the center of mass as indicated by the blue arrow in the diagram. The counterbalance w1 weighs 135 N. Determine the weight w2 and the angle needed so that no force is exerted on the hip joint by the leg plus cast.

### Rotational Dynamics/angular acceleration using a turntable for the experiment

The claim that the acceleration of the falling mass is the same as the tangential acceleration of a point at the lever arm distance from the axis is : a = (r)(alpha), where a is the acceleration of the falling mass, r is the lever arm distance, and alpha is the angular acceleration of the turntable. Why is this claim valid? Use

### What does the scale read during the acceleration of a moving elevator?

A person stands on a scale in a moving elevator and her mass is 60.0 kg and the combined mass of the elevator and scale is an additional 815 kg. Starting from rest, the elevator accelerates upward. During the acceleration, the hoisting cable applies a force of 9410 N. What does the scale read during the acceleration?

### Vectors and force: Speed of car in wind

I wanted some help w/ a vector hypothetical. Say, there's is a wind, coming from the northwest (and going southeast), blowing at 25 to 30 MPH on a vehicle traveling east at 55MPH, say at 30 degree to the vehicle, a positive force on the back and left side of this vehicle. What formula would you use to should this positive force?

### Angular acceleration and duration of a rotating wheel

A wheel initially rotating at an angular speed of 1.6 rad/s turns through 36 revolutions during the time that it is subject to an angular acceleration of 0.32 rad/s^2. How long did the acceleration last?

### Angular speeds in radians, linear speeds and average angular acceleration. 9/5

A pneumatic high-speed cutter with a 7.50 cm diameter cutting disc is advertised to have a rotation rate of between 5,000 and 18,000 rev/min. A) What is the range of angular speeds in radians? B) What is the range of linear speeds of the edge of the disk? C) What is the average angular acceleration if, starting from rest

### Linear Speed of Cutting Edge and Average Angular Acceleration

A) A dentist's drill turns a 0.75 mm diameter bit at 5.0 x 10^5 rev/min. What is the linear speed of the cutting edge? B) When the drill is first turned on it takes about ¼ of a second to come up to full speed. What is the average angular acceleration of the bit? I believe the answer is A) 20 m/s and B) 2.1 x 10^5 rad/s^2. I

### A sky diver in free fall travels at a speed...

10. A sky diver in free fall travels at a speed modeled by (see equation in attached file) ft per second after t seconds. How long will it take for the skydiver to attain the speed of 60 mph (note: 60 mph = 88 ft/sec)?

### Average Acceleration from a Table

The following data was recorded for a motorcycle going down a ramp. (see chart in attached file) Please check data and complete the average acceleration. What is the average acceleration for the total running distance?

### Circular motion: Centripetal acceleration

The centripetal acceleration at the equator is about 3.4 cm/s^2. Use that information and the length of a day to estimate the radius of the earth. Show each step and each formula needed and the final answer.

### Acceleration, angular speed and revolutions

The tub of a washer goes into its spin-dry cycle, starting from rest and reaching an angular speed of 5.0 rev/s in 8.0 sec. a) What is the average acceleration in radians/sec? b) Through how many revolutions does the tub turn in that time? c) If the lid is opened, the safety switch turns off the washer, and the tub slow

### Velocity and a Piecewise Function and Local Maxima and Minima

Please see the attached file for the fully formatted problems.

### Physics: velocity, speed, force, temperature, energy, magnitude, acceleration, wave

1) A particle moves according to the equation x=10t2, where x is in meters and t is in seconds. Find the average velocity for the time interval from 2.0 second to 2.1 second. A) 41 m/s B) 100 m/s 2) If A = (12i -16j) and B = (-24i + 10j), what is the magnitude of the vector C = (2A - B)? A) 42 B) 22 C) 64 D) 90 3) A

### Two problems on application of Newton's second law of motion.

Application of Newton's second law of motion. See attached file for full problem description.

### Cable supporting a boom & a sphere rolling down an incline

26) A 1200 N uniform boom is supported by a cable; one end of the cable being attached to a wall and the other end to top of the boom. The cable is perpendicular to the boom. One end of the boom is attached to a hing on the ground and is leaning away from the wall at an angle of 65 degrees to the ground. A 2000 N weight hangs f

### Harmonic Oscillator Equations

(See attached file for full problem description) --- A block of mass is attached to a spring whose spring constant is . The other end of the spring is fixed so that when the spring is unstretched, the mass is located at . . Assume that the +x direction is to the right. The mass is now pulled to the right a distance

### Circular Motion: Centripetal Acceleration and Minimum Force

Please identify all variables used. 1) An engine flywheel initially spinning 2000 rpm has an angular acceleration of -10 rad/s2 as it slows down. How long does it take for the flywheel to turn through 100 revolutions? How long does it take to stop? 2) A 50 kg child stand at the rim of a merry go round with a radius of 2.