Question

Is it possible to express angular speed in degrees per second? if so, what's the conversion factor from radians per second?

Answer 1

Answer: yes, it is possible to express angular speed in degrees per second as well as radians per second.

Explanation: Since, we know that angular speed is the rate in which an object changes its angle in a given time period.Generally, we measure angular speed in radians.

ω=
`(\Theta)/(t)`, where
`\Theta` is the angle in radian and t is time. so let us consider we have angular velocity ω= 3 radian per second.And, we want to change it in degree per second.

Since,
`2\pi` radians=360° ⇒
`\pi` radians=180°

So, 1 radian= 180°/
`\pi`

Angular speed = 3×180°/
`\pi` radian per second.

Thus, when we want to change angular speed from radian to degree we should multiply by 180°/
`\pi`.

Similarly, when we want to find in radian per second from degree per second then we have to multiply by
`\pi`/180°.