Question Detail

PHY 101 Circular Motion Objective Question

Question

A 2 kg body is whirled in a horizontal circle of radius 1.5 m, making three complete revolutions every second. What is its linear speed?
Options
A 2π m/s
B 9π m/s
Correct Answer
C 4.5π m/s
D 3π m/s
Correct Answer

Option B is the correct answer.

Detailed Explanation

The frequency f = 3 rev/s. The period T = 1/f = 1/3 s. Using v = 2πR/T = 2πRf = 2π * 1.5 m * 3 rev/s = 2π * 1.5 * 3 = 9π m/s.

Hint

Linear speed v = 2πR / T, and T = 1/f. So v = 2πRf.

Question Info