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Equations of Rotational Motion Solutions Library

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34 solutions

Equations of Rotational Motion

Q. The tires of a car make 77 revolutions as the car reduces its speed uniformly from 92.0 km/h to 60.0 km/h. The tires have a diameter of 0.84 m.1. W...

Solved • Feb 11, 2021

Equations of Rotational Motion

Q. The 3.50-cm-long second hand on a watch rotates smoothly.What is its angular velocity?What is the speed of the tip of the hand?

Solved • Jan 21, 2021

Equations of Rotational Motion

Q. The kinematic equations (motion with constant acceleration) for motion in one dimension are:Where v is velocity and a is acceleration. For rational...

Solved • Nov 2, 2020

Equations of Rotational Motion

Q. Dario, a prep cook at an Italian restaurant, spins a salad spinner and observes that it rotates 20.0 times in 5.00 seconds and then stops spinning ...

Solved • Oct 12, 2020

Equations of Rotational Motion

Q. An old-fashioned LP record rotates at 33 rpm. What is its frequency in rev/s? What is its period?

Solved • Sep 30, 2020

Equations of Rotational Motion

Q. Rotational motion with a constant nonzero acceleration is not uncommon in the world around us. For instance, many machines have spinning parts. Whe...

Solved • Sep 30, 2020

Equations of Rotational Motion

Q. Two blocks, which can be modeled as point masses, are connected by a massless string which passes through a hole in a frictionless table. A tube ex...

Solved • Sep 22, 2020

Equations of Rotational Motion

Q. Rotational motion with a constant nonzero acceleration is not uncommon in the world around us. For instance, many machines have spinning parts. Whe...

Solved • Jul 23, 2020

Equations of Rotational Motion

Q. A bicyclist notes that the pedal sprocket has a radius of rp = 11 cm while the wheel sprocket has a radius of rw = 6.5 cm. The two sprockets are co...

Solved • Jul 16, 2020

Equations of Rotational Motion

Q. Dario, a prep cook at an Italian restaurant, spins a salad spinner 20.0 times in 5.00 seconds and then stops spinning it. The salad spinner rotates...

Solved • Jul 15, 2020

Equations of Rotational Motion

Q. How would reversing the wheel’s initial direction of rotation affect the result?a. The seated demonstrator would rotate clockwise with increased an...

Solved • Jul 14, 2020

Equations of Rotational Motion

Q. During a very quick stop, a car decelerates at 7.00 m/s.(a) What is the angular acceleration of its 0.280-m-radius tires, they do not slip on the p...

Solved • Jul 13, 2020

Equations of Rotational Motion

Q. A computer disk drive is turned on starting from rest and has a constant angular acceleration. If it took 0.0865 s for the drive to make its second...

Solved • Jul 1, 2020

Equations of Rotational Motion

Q. Rotational motion with a constant nonzero acceleration is not uncommon in the world around us. For instance, many machines have spinning parts. Whe...

Solved • Jun 5, 2020

Equations of Rotational Motion

Q. The angular velocity (in rpm) of the blade of a blender is given in the figure.a. If θ=0rad at t=0s, what is the blade's angular position at t=20s?...

Solved • Jun 2, 2020

Equations of Rotational Motion

Q. A gyroscope slows from an initial rate of 32.0 rad/s at a rate of 0.700 rad/s2.(a) How long does it take to come to rest?(b) How many revolutions d...

Solved • May 21, 2020

Equations of Rotational Motion

Q. A rotating space station is said to create "artificial gravity" - a loosely-defined term used for an acceleration that would be crudely similar to ...

Solved • May 19, 2020

Equations of Rotational Motion

Q. Dario, a prep cook at an Italian restaurant, spins a salad spinner 20.0 times in 5.00 seconds and then stops spinning it. The salad spinner rotates...

Solved • May 13, 2020

Equations of Rotational Motion

Q. A disk at rest experiences a constant angular acceleration for t=15 s, at the end of which it is spinning with a frequency of f = 75rpm. Please ans...

Solved • Apr 30, 2020

Equations of Rotational Motion

Q. An old-fashioned vinyl record rotates on a turntable at 45 rpm. a. What is the angular speed in rad/s?b. What is the period of motion?

Solved • Apr 23, 2020

Equations of Rotational Motion

Q. A computer disk drive is turned on starting from rest and has a constant angular acceleration. If it took 0.750 seconds for the drive to make its s...

Solved • Apr 22, 2020

Equations of Rotational Motion

Q. An airplane propeller is rotating at 1910 rev/min.a) Compute the propellers angular velocity in rad/s.b) How long in seconds does it take for the p...

Solved • Mar 18, 2019

Equations of Rotational Motion

Q. At t=0 a grinding wheel has an angular velocity of 26.0 rad/s . It has a constant angular acceleration of 31.0 rad/s2 until a circuit breaker trips...

Solved • Mar 18, 2019

Equations of Rotational Motion

Q. A CD-ROM is accelerated from rest with constant angular acceleration αo.Find the time for the disk to complete the first full loop. [a] t = 1/2  (...

Solved • May 31, 2017

Equations of Rotational Motion

Q. A wheel accelerates from rest to 59 rad/s at a rate of 74 rad/s2. Through what angle (in radians) did the wheel turn while accelerating? A) 24 rad...

Solved • Mar 6, 2017

Equations of Rotational Motion

Q. A fan is turned off, and its angular speed decreases from 10.0 rad/s to 6.3 rad/s in 5.0 s.  What is the magnitude of the angular acceleration of t...

Solved • Mar 6, 2017

Equations of Rotational Motion

Q. A car is initially driving at 20 m/s when the driver sees a dog in the road 100 m in front of him. In order to break in time to not hit the dog, wh...

Solved • Mar 1, 2017

Equations of Rotational Motion

Q. A disk is rotating at 150 rpm. Answer the following questions: (a) What angle, in radians, does the disk rotate through in 25 s if the angular spe...

Solved • Mar 1, 2017

Equations of Rotational Motion

Q. A wheel of radius 0.300 m is mounted with frictionless bearings about an axle through its center. A light rope is wrapped around the wheel around t...

Solved • Feb 7, 2017

Equations of Rotational Motion

Q. A large wheel of radius 0.300 m is initially at rest and then starts to rotate with a constant angular acceleration of 0.400 rad/s2 about an axle a...

Solved • Feb 7, 2017

Equations of Rotational Motion

Q. A wheel with radius 0.200 m starts from rest at t = 0 and then starts to rotate with constant angular acceleration about an axis at its center. At ...

Solved • Feb 7, 2017

Equations of Rotational Motion

Q. A wheel with radius 0.200 m starts from rest at t = 0 and then starts to rotate with constant angular acceleration about an axis at its center. At ...

Solved • Feb 7, 2017

Equations of Rotational Motion

Q. A wheel with radius 0.20 m starts from rest and turns through 8.0 revolutions in 5.0 s. At t = 5.0 s, what is the radial acceleration of a point on...

Solved • Feb 6, 2017

Equations of Rotational Motion

Q. A wheel with radius 0.20 m starts from rest and turns through 8.0 revolutions in 5.0 s. At t = 5.0 s, what is the tangential acceleration of a poin...

Solved • Feb 6, 2017