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A particular motor rotates at 3000 revolutions per minute.

a) What is its speed in rad/sec?
b) How many seconds does it take to make one revolution?

Answer :

Answer:

ω=314.15 rad/s.

0.02 s.

Explanation:

Given that

Motor speed ,N= 3000 revolutions per minute

N= 3000 RPM

The speed of the motor in rad/s given as

[tex]\omega=\dfrac{2\pi N}{60}\ rad/s[/tex]

Now by putting the values in the above equation

[tex]\omega=\dfrac{2\pi \times 3000}{60}\ rad/s[/tex]

ω=314.15 rad/s

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

The speed in rev/sec given as

[tex]\omega=\dfrac{ 3000}{60}\ rad/s[/tex]

ω= 50 rev/s

It take 1 sec to cover 50 revolutions

That is why to cover 1 revolution it take

[tex]\dfrac{1}{50}=0.02\ s[/tex]

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