You have a rotating turntable affixed radially with four protruding pencils. The pencils were found to trip the photogate 32 times per second. Calculate the angular velocity of the turntable
To calculate the angular velocity of the turntable, we can use the formula:
Angular velocity (ω) = (2π × f) / n
Where:
- f is the frequency of the photogate tripping (32 times per second)
- n is the number of protruding pencils (4)
Plugging in the values:
Angular velocity (ω) = (2π × 32) / 4
= 64π / 4
= 16π rad/s
Therefore, the angular velocity of the turntable is 16π rad/s.