Question

Value of 30rps in rads-1 is
a)30π
b)60π
c)90π
d)120π​

Answer 1

Answer:

please see the attachment

Answer 2

Answer:

Given:

Angular velocity of an rotating object in rps (revolutions per second) is 30 rps.

To find:

Angular velocity in rad per second.

Concept:

We can see that while converting to rad/s , we have to include an angle of 2π to rps. Since both the units have time period , there is no need to change time .

Calculation:

For those kind of conversation , we will simple multiply with 2π .

$\red{ \huge{30 \: rps}}$

$\red{ \huge{ = 30 \times 2\pi\: rad {s}^{ - 1} }}$

$\red{ \huge{ = 60\pi\: rad {s}^{ - 1} }}$

So correct option is :

$\boxed{ \green{ \huge{option \: b)}}}$

Additional information :

• For conversion from rpm to rad/s , we also need to convert the minute to second.
• This can be done by dividing the final value by 60
• x rpm = x (2π/60) rad/s