Question

A particular motor rotates at 3000 revolutions per minute (rpm). What is its speed in rad/sec, and how many seconds does it take to make one revolution?

Answer 1

6284 rad/sec

Step-by-step explanation:

1 revolution per minute = 2pi/60 rad per second

3000rpm = 2pi/60 * 3000

= 6284rad/sec

Answer 2

ω=314.15 rad/s.

0.02 s.

Step-by-step explanation:

Given that

Motor speed ,N= 3000 revolutions per minute

N= 3000 RPM

The speed of the motor in rad/s given as

Now by putting the values in the above equation

ω=314.15 rad/s

Therefore the speed in rad/s will be 314.15 rad/s.

The speed in rev/sec given as

ω= 50 rev/s

It take 1 sec to cover 50 revolutions

That is why to cover 1 revolution it take

`(1)/(50)=0.02\ s`