Question

Notify Me Bookmark

A wheel of radius 0.155 m, which is moving initially at 52.1 m/s, rolls to a stop in 206 m. Calculate the magnitudes of (a) its linear acceleration and (b) its angular acceleration. (c) The wheel's rotational inertia is 0.430 kg⋅m2 about its central axis. Calculate the magnitude of the torque about the central axis due to friction on the wheel. (a) Number Units (b) Number Units (c) Number Units

A wheel of radius 0.155 m, which is moving initially at 52.1 m/s, rolls to a stop in 206 m. Calculate the magnitudes of (a) its linear acceleration and (b) its angular acceleration. (c) The wheel's rotational inertia is 0.430 kg⋅m2 about its central axis. Calculate the magnitude of the torque about the central axis due to friction on the wheel. (a) Number Units (b) Number Units (c) Number Units

Image text
A wheel of radius 0.155 m , which is moving initially at 52.1 m / s , rolls to a stop in 206 m . Calculate the magnitudes of (a) its linear acceleration and (b) its angular acceleration. (c) The wheel's rotational inertia is 0.430 k g ⋅ m 2 about its central axis. Calculate the magnitude of the torque about the central axis due to friction on the wheel. (a) Number Units ◻ (b) Number i Units ◻ (c) Number i Units ◻

Detailed Answer

0 0

Please enter your email here. You will get email when this question is answered by our tutor.

Doubtrix Logo

Problem is not yet solved!

Click on Notify me to get email when question is answered.

Join Doubtrix with 7-days free trial

  • Icon Correct & Verified Answers
  • Icon No AI-Generated Answers
  • Icon Video Solution for Difficult Questions
  • Icon Work With Experts to Reach at Correct Answers
Notify me Login Sign Up

Similar/Related Questions

Starting from rest, a disk rotates about its central axis with constant angular acceleration. In 1.00 s, it rotates 22.8 rad. During that time, what are the magnitudes of (a) the angular acceleration and (b) the average angular velocity? (c) What is the instantaneous angular velocity of the disk at the end of the 1.00 s ? (d) With the angular acceleration unchanged, through what additional angle (rad) will the disk turn during the next 1.00 s? (a) Number Units (b) Number Units (c) Number Units (d) Number Units
Solution
0 0

A yo-yo has a rotational inertia of 766 g⋅cm2 and a mass of 116 g. Its axle radius is 2.94 mm, and its string is 143 cm long. The yo-yo rolls from rest down to the end of the string. (a) What is the magnitude of its linear acceleration? (b) How long does it take to reach the end of the string? As it reaches the end of the string, what are its (c) linear speed, (d) translational kinetic energy, (e) rotational kinetic energy, and (f) angular speed? (a) Number Units (b) Number Units (c) Number Units (d) Number Units (e) Number Units (f) Number Units
Solution
0 0

In a judo foot-sweep move, you sweep your opponent's left foot out from under him while pulling on his gi (uniform) toward that side. As a result, your opponent rotates around his right foot and onto the mat. The figure shows a simplified diagram of your opponent as you face him, with his left foot swept out. The rotational axis is through point O. The gravitational force F→g on him effectively acts at his center of mass, which is a horizontal distance d = 25 cm from point O. His mass is 84 kg, and his rotational inertia about point O is 65 kg⋅m2. What is the magnitude of his initial angular acceleration about point O if your pull F→a on his gi is (a) negligible and (b) horizontal with a magnitude of 300 N and applied at height h = 1.4 m? Assume free-fall acceleration to be equal to 9.81 m/s2. (a) Number Units (b) Number Units

Solution
0 0