Question

What is the angular velocity of the second hand of a clock?

A) π radians per second
B) 2π radians per minute
C) 6 radians per second
D) 1/60 radians per second

Answer 1

The angular velocity of the second hand of a clock is 1/30 radians per second, which can also be expressed as 2π radians per minute.

Step-by-step explanation:

The angular velocity of the second hand of a clock is the rate at which the hand rotates around the clock face. A complete rotation is 2π radians, and since the second hand makes a complete rotation in 60 seconds, we can calculate its angular velocity. We know that there are 2π radians in one complete revolution, so if the second hand makes one revolution per minute, then the angular velocity ω is 2π radians per 60 seconds, which simplifies to 1/30 radians per second (Option B, 2π radians per minute, is a more conventional way to express the same velocity).