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?
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
What is the average angular acceleration of the bit of a dentist's drill? What is the linear speed of the cutting edge?
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
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)?
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?
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.
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.
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
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
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
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.
There are 5 parts to this question and kindly provide explanation on the derivation of answers. See attached file for full problem description.
A rectangular vessel when full of water takes 20 minutes to be emptied through an orifice at its bottom. How much time will it take to be emptied when half filled with water ?
A car moving at constant velocity and a chasing police car moving with a constant acceleration. Five questions have been answered regarding the relative motion of these two vehicles.
Constant Acceleration Problem A motorist traveling with a constant velocity of 15 m/s passes a school-crossing corner. Just as the motorist passes, a police officer stopped on the corner starts off in pursuit with constant acceleration of 2.5 m/s^2 until her speed is 20 m/s. Then she slows down at a constant rate until she c
Riding a Loop-the-loop. A car in an amusement park ride rolls without friction around the track shown in the figure. It starts from rest at point at a height above the bottom of the loop. Treat the car as a particle. 1. What is the minimum value of (in terms of) such that the car moves around the loop without falling off at t
A car starts from rest and moves along a straight road with a constant acceleration of 2.45 m/s^2. a. What is its velocity after 4 seconds? b. How far does it move from t = 4s to t = 5s?
A car speeds up from 10.5 m/s to 25.1 m/s in 3 minutes 12 seconds. a. What is the acceleration of the car? b. How far does the car travel in that time?
A 4.9-N hammer head is stopped from an initial downward velocity of 3.2 m/s in a distance of 0.45 cm by a nail in a pine board. In addition to its weight, there is a 15-N downward force on the hammer head applied by the person using the hammer. Assume that the acceleration of the hammer head is constant while it is in contact wi
(See attached file for full problem description with diagram and equations) --- The acceleration of a block of mass that is pulled up a frictionless plane inclined at angle with respect to the horizontal by a perfect string that passes over a perfect pulley to a block of mass that is hanging vertically. Visualize th
At the instant the traffic light turns green, a car that has been waiting at an intersection starts ahead with a constant acceleration of 3.20m/s^2. At the same instant a truck, traveling with a constant speed of 20.0m/s, overtakes and passes the car. Answer these questions: 1) How far beyond its starting point does the car overtake the truck? 2) How fast is the car traveling when it overtakes the truck? 3) Sketch an x-t graph of the motion of both vehicles. Take x=0 at the intersection. 4) Sketch a v-t graph of the motion of both vehicles.
At the instant the traffic light turns green, a car that has been waiting at an intersection starts ahead with a constant acceleration of 3.20m/s^2. At the same instant a truck, traveling with a constant speed of 20.0m/s, overtakes and passes the car. Answer these questions: 1) How far beyond its starting point does the
Location A is 4 m to the LEFT of a point charge of 0.3 μC. Location B lies on the same line and is to the RIGHT of the charge. The potential difference VB - VA = 100 V. How far is Location B from the point charge? A uniform electric field has a magnitude of 2 x 103 N/C. In a vacuum, a proton begins with a speed of 4 x 1
1. A truck initially traveling at 30 mph decelerates at 4 ft/s^2. Find (a) how long it takes to stop, (b) how far it moves in that time, and (c) how far the truck moves in the third second after the brakes are applied. 2. A boy throws a ball straight up from the top edge of a 50-ft building with a speed of 20 ft/s. How lon
Problem 1 : Here is a cup with two holes (see attachment). The cup is filled with water to the top and the water is coming out of the holes. Assuming suitable values for heights, radius's etc. please answer the following questions : 1) Velocity with which the stream of water comes out. 2) Acceleration of the stream of w
Please answer each question with step by step solution please. Thanks! 1) A high speed sander has a disk of 9.11 cm in radius that rotates about its axis at a constant rate of 1170 rev/min. Find the angular speed of the disk in rad/sec. 2) Find the linear speed of a point 0.902cm from the disks center in m/s. 3) Find
A rocket accelerates upward from the ground at 25m.s-2 for 2.5s at an angle of 80o to the horizontal. The rocket motor stops and it eventually falls to the ground. Neglecting air resistance and assuming that the trajectory during acceleration is a straight line. a. Make a labeled sketch of the rockets trajectory starting f
See the attached file for the full problem description. Two basketball players are essentially equal in all respects (they are the same height, they jump with the same initial velocity, etc...). In particular, by jumping they can raise their centers of mass the same vertical distance, H (called their "vertical leap"). T
A motorcycle is following a car that is traveling at constant speed on a straight highway. Initially, the car and the motorcycle are both traveling at the same speed of 42.0 mph, and the distance between them is 60.0 m. After = 5.00 s, the motorcycle starts to accelerate at a rate of 8.00 m/s2. The motorcycle catches up with th
A teacher, 2.256 m tall, throws a basketball towards the hoop which is at a horizontal distance l. The basketball is thrown from the level of the teachers head or again 2.256 m at a velocity of 18 m/s, at an angle of 62 degrees from the horizontal. The height of the hoop 3.048 m. 1) Neglecting air friction, how long does
Please help with 14, 15 and 16 with step by step solutions showing equations used and answers. answer 14 not 16.1cm, answer 15 not 8.123 m/s, answer 16 not 19.6 m/s^2. (See attached file for full problem description)
A 40kg bucket is being lifted by a rope. The rope is guaranteed not to break if the tension is 500N or less. The bucket, started from rest, after being lifted for 3m, it is moving at 3m/s. Assuming that the acceleration is constant, is the rope in danger of breaking? Justify your answer by including the tension in the rope.
Two cars are traveling along a straight line in the same direction, the lead car at 25.3 m/s and the other car at 29.3 m/s. At the moment the cars are 38.9 m apart, the lead driver applies the brakes, causing her car to have an acceleration of -1.93m/s^2. Therefore, it travels 166 meters in this time and takes 13.1 to stop. Q