Question

A turntable rotates at 100 rev/min. Calculate its angular speed in rad/s and in degree/s.​

Answer 1

1. w= 100×2pi/60

=10/3 pi

=3.33 pi radian per second

2. w=100×360/60

=600 degrees per second

Answer 2

Explanation:

It is given that,

Angular speed of the turntable, $\omega=100\ rev/min$

Since, $1\ revolution/minute= 2\pi \ radian/second$

and 1 minute = 60 seconds

1 revolution/minute = 0.10472 radian/seconds

To convert 100 rev/min to radian/seconds, we can use unitary method as :

$\omega=100\times 0.10472\ rad/sec$

$\omega=10.472\ rad/s$

Since, $1\ revolution/minute= 6 \ degree/second$

So, $1\ revolution/minute= 6\times 100\ degree/second$

$1\ revolution/minute= 600\ degree/second$

Hence, the angular speed of the turntable is 10.472 radian/second or 600 degree/second.