Question

What is the angular velocity of a wheel rotating at a constant rate of 2.0×10^3 rev/min in radians per second?

A) 20π rad/s
B) 200π rad/s
C) 400π rad/s
D) 1200π rad/s

Answer 1

The angular velocity of a wheel rotating at 2.0×103 rev/min in radians per second is 200π rad/s, which translates to option B) 200π rad/s. So, the correct optiopn is B) 200π rad/s.

Step-by-step explanation:

To calculate the angular velocity of a wheel rotating at 2.0×103 rev/min in radians per second, we first convert revolutions per minute to revolutions per second, and then to radians per second.

First, convert rev/min to rev/s by dividing by 60:

2.0×103 rev/min ÷ 60 = 33.33 rev/s

Since one revolution is equal to 2π radians, we multiply the revolutions per second by 2π to get radians per second:

33.33 rev/s × 2π rad/rev = 200π rad/s

Therefore, the correct answer is B) 200π rad/s.