Circular Motion Problems
A 12-in. diameter phonograph record rotates about its center by one-quarter turn. a. Through how many radians has it turned? b. How far has a point on the rim moved?
Circular Motion
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Circular Motion Problem
Show all work with answer please! A protractor is made so that the edge of its scale is 7.5 cm from the center point. If the scale is marked in degrees, how far apart are the marks along the edge?
Center of Mass
Find the center of mass of a plate that is shaped like the region between y=x^2 and y=2x, where the density varies as 1 + x + y.
Earth's movements
26. The Earth moves in an almost-circular orbit around the Sun because: (a) That is the 'natural' path of an object in space (b) Of the combination of its sideways motion, and the Sun's gravitational force (c) The Sun moves in an almost-circular path around the Earth (d) Of the Sun's magnetic field (e) None of the above
Simple Harmonic Motion equation given with numerical values
The x coordinate in meters, of an object which moves on the x axis with SHM is expressed by: x(t) = .12 Sin (5 t + .35) a. At time t= 0, find the initial x coordinate, and the initial magnitude and direction of the velocity and the acceleration. b. At exactly one half a period after t=0, find the x coordinate and the magn
Simple Harmonic Motion - Magnitude
The period of oscillation of a spring-and-mass system is 0.50 seconds and the amplitude is 5.0cm. What is the magnitude of the acceleration at the point of maximum extension of the spring?
Calculating time to return to starting point
A particle of mass m, initially at rest, moves in a circular path of radius r. The resultant force acting on the particle has a tangential component given by F = Kt. Express the time required for the particle to return to its starting point in terms of r, K, and m. I'm so confused on this one. So, there is an angular accelera
Uniform circular Motion
A car with a constant speed of 83.0 km/h enters a circular flat curve with a radius of curvature of .400 km. If the friction between the road and the car's tires can supply a centripetal acceleration of 1.25m/s^2, does the car negotiate the curve safely? Justify your answer.
Rotational Motion and Angular Displacement, Angular Velocity and Angular Acceleration
A Ferris wheel rotates at an angular velocity of 0.24 rad/s. Starting from rest, it reaches its operating speed with an average angular acceleration of 0.030 rad/s^2. How long does it take the wheel to come up to operating speed?
Mass oscillating on a spring
The position of a mass oscillating on a spring is given by X= 7.8 cm cos [2 pi t / (0.68 s) ] a. What is the frequency of this motion? b. When is the mass first at the position x= -7.8cm
Radius, Cetripetal Acceleration, Lift Force & Velocity Direction
A plane heading due North makes a level turn with a speed of 100 m/s. The angle of the bank is 15 degrees. Determine: (a) Radius of the circular path (b) Cetripetal acceleration (c) Lift force (d) Direction of velocity after 30 seconds (Weight of the plane is 19600 Newtons)
Magnitude of force that maintains a car's circular motion
A 905 kg test car travels around a 3.25 km circular track. If the magnitude of the force that maintains the car's circular motion is 2140 N, what is the car's tangential speed? Please show all work, anwser and formulas used.
Determine magnitude of the centripetal force that acts on a skater in 'crack the whip'
In a skating stunt known as "crack-the-whip," a number of skaters hold hands and form a straight line. They try to skate so that the line rotates about the skater at one end, who acts as the pivot. The skater farthest out has a mass of 80.0 kg and is 6.10 m from the pivot. He is skating at a speed of 6.80 m/s. Determine the magn
Magnitude of string tension
Hi. Can someone show me how to do the the following problem? "A mass M of 2.71 kg is attached to the end of a string whose length is 0.640 m, and is whirled in a vertical circle in the same radius about a fixed point. Find the magnitude of the tension when the mass is at the top if its speed at the top is 5.73 m/s." (I don
Mass suspended from a string - with tangential motion
Hi. Can you please show me how to do the following problem? It has me completely confused. "A mass m = 9.100 kg is suspended from a string of length L = 1.510 m. It revolves in a horizontal circle as shown. The tangential speed of the mass is 2.850 m/s. What is the angle theta between the string and the vertical (in degrees)?
Force and Motion Minimum Magnitudes
1. A 68 kg crate is dragged across a floor by pulling on a rope attached to the crate and inclined 15 degrees above the horizontal. (a) If the coefficient of static friction is 0.50, what minimum force magnitude is required from the rope to start the crate moving ? (b) If the friction is 0.35, what is the magnitude of the initia
Concept of centripetal force on a curved road
On a highway curve with radium 50m, the maximum centripetal force that can act on a 1,000kg car going around the curve is 8,000 Newtons. What speed limit should be posted for the curve so that cars can navigate it safely?
Working with the dynamics of circular motion.
A car rounds a turn at 65 km/hr, radius= 225 m. What is the minimum friction coefficient between the tires and the road?
Write a wave equation given the constants amplitude, frequency and speed.
One end of a long brass wire is moved up and down with simple harmonic motion (SHM), with amplitude 0.08 m and a frequency of 45 cycles per second. The wave travels along the wire at a speed of 80 m/sec. Write the wave equation in terms of k and angular frequency w.
Simple Harmonic Motion is featured.
Point P is moving in a circle at constant speed. On a diameter on the x axis, point Q moves in such a way that the x coordinates of both P and Q remain the same. SEE ATTACHMENT #1 for a diagram and explanation of parameters. PART a. First with parameters then with numbers, express x as a function of time. PART b. Since th
Calculating Period, Frequency and Angular Frequency
The fan blades of a jet engine make one thousand revolutions in a time of 50.0 ms. Determine (a) The period in seconds and (b) The frequency in Hz of the rotational motion (c) What is the angular frequency of the blade?
Working with vertical circular motion.
A fighter pilot dives his plane toward the ground at 230 m/s. He pulls out of the dive on a vertical circle. What is the minimum radius of the circle, so that the normal force exerted on the pilot by his seat never exceeds three times his weight?
Proving that the motion models the given equation and finding the constant values in a situation where a mass is sliding on a rotating rod.
A particle of mass m is free to slide on a thin rod. The rod rotates in a plane about one end at constant angular velocity w. Show that the motion is given by r=Ae^(-yt)+Be^(yt), where y is a constant which you must find and A and B are arbitrary constants. Neglect gravity. Show that for a particular choice of initial co
Determining Rotation Rate Required
A fairground attraction called the rotor is a spinning drum with a movable floor that is dropped down as the drum speeds up. The people are held onto the wall by friction. If the minimum friction coefficient is 0.5, what is the rotation rate required before the floor is dropped? The radius of drum is 5.0m.