How to Convert Rotations per/sec to radians per second

In summary, the formula for converting rotations per second to radians per second is: angular velocity (radians per second) = angular velocity (rotations per second) x 2π. To convert a given value in rotations per second to radians per second, simply multiply the value by 2π. Most calculators have a built-in function for this conversion. We need to convert rotations per second to radians per second for consistency and easier comparison with other units of measurement. The conversion from radians per second to rotations per second is the inverse of the conversion from rotations per second to radians per second. The formula for converting radians per second to rotations per second is: angular velocity (rotations per second) = angular velocity (radians per second
  • #1
KTiaam
53
1

Homework Statement




How do you convert Rotations per/sec to radians/sec

Ex:

a disk rotates 15 times in 25 seconds convert to radians/sec

Attempt:

15 rotations / 25 seconds

=

1 rotation / 0.6 seconds

1 rotations = 2 pi rad
 
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  • #3
It's just what you said. It (2*pi*rotations)/seconds.
 

1. What is the formula for converting rotations per second to radians per second?

The formula for converting rotations per second to radians per second is: angular velocity (radians per second) = angular velocity (rotations per second) x 2π

2. How do I convert a given value in rotations per second to radians per second?

To convert a given value in rotations per second to radians per second, simply multiply the value by 2π. For example, if the value is 5 rotations per second, the conversion would be: angular velocity (radians per second) = 5 rotations per second x 2π = 10π radians per second

3. Can I use a calculator to convert rotations per second to radians per second?

Yes, most calculators have a built-in function for converting units of measurement, including rotations per second to radians per second. Simply enter the value in rotations per second and press the appropriate conversion button or key to get the result in radians per second.

4. Why do we need to convert rotations per second to radians per second?

Rotations per second is a unit commonly used to measure angular velocity, but radians per second is the standard unit for angular velocity in the International System of Units (SI). Converting to radians per second allows for consistency and easier comparison with other units of measurement.

5. Can I convert radians per second to rotations per second?

Yes, the conversion from radians per second to rotations per second is the inverse of the conversion from rotations per second to radians per second. The formula for converting radians per second to rotations per second is: angular velocity (rotations per second) = angular velocity (radians per second) ÷ 2π

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