Question

A turntable reaches an angular speed of "45 rev/min" in "4.10 s" after being turned on. What is its angular acceleration?

Answer 1

1.15 rad/s²

Step-by-step explanation:

given,

angular speed of turntable = 45 rpm

=
`45* (2\pi)/(60)`

=
`4.71\ rad/s`

time, t = 4.10 s

initial angular speed = 0 rad/s

angular acceleration.

`\alpha = (\omega_f-\omega_0)/(t)`

`\alpha = (4.71-0)/(4.10)`

`\alpha = 1.15\ rad/s^2`

Hence, the angular acceleration of the turntable is 1.15 rad/s²