The angular speed of a fly wheel making 120 revolution /minute is?
Angular speed =theta/t
=120*2pi/60 (as 1 revolution =360 degree=2pi rad)
=4rad/s
The angular speed of a fly wheel making 120 revolution /minute is?
The angular speed of a flywheel can be determined by calculating the rate at which it rotates. In this case, the flywheel is making 120 revolutions per minute. To find the angular speed, we need to convert the number of revolutions to radians.
Conversion from Revolutions to Radians:
- 1 revolution is equal to 2π radians. This conversion is based on the fact that the circumference of a circle is 2π times its radius.
- Therefore, to convert the number of revolutions to radians, we multiply the given value by 2π.
Calculation:
- Given: 120 revolutions per minute
- Angular speed = (Number of revolutions) x (Conversion factor from revolutions to radians)
- Angular speed = 120 x (2π radians/1 revolution)
- Angular speed = 240π radians per minute
Simplification:
- The angular speed is 240π radians per minute. This represents the number of radians the flywheel rotates through in one minute.
Explanation:
- Angular speed is a measure of how fast an object is rotating around a fixed point, typically measured in radians per unit of time.
- In this case, the flywheel is making 120 revolutions per minute, which means it completes 120 full rotations in one minute.
- To find the angular speed, we convert the number of revolutions to radians by multiplying by the conversion factor of 2π radians per revolution.
- The resulting value, 240π radians per minute, represents the rate at which the flywheel rotates in terms of radians per minute.
Conclusion:
- The angular speed of the flywheel making 120 revolutions per minute is 240π radians per minute.