Question Detail

PHY 101 Mechanical Equilibrium and Rotational Dynamics Objective Question
Take CBT

Question

A particle of mass m moving in a circle of radius R has a linear speed ωR. What is its kinetic energy?
Options
A ½ mω²R
B ½ mωR²
C ½ mω²R²
Correct Answer
D mω²R²
Correct Answer

Option C is the correct answer.

Detailed Explanation

The kinetic energy of a particle is given by ½mv². For a particle moving in a circle, its linear velocity v is related to angular velocity ω by v = ωR. Substituting this into the KE formula gives KE = ½ m (ωR)² = ½ m ω² R².

Hint

Start with the linear kinetic energy formula and substitute the relationship between linear and angular velocity.

Question Info

Course: PHY 101
Topic: Mechanical Equilibrium and Rotational Dynamics
Type: Objective
Difficulty: Not specified
Question 569 of 1250
Previous Course Details Next