Question

The angular velocity of the belt of a grindstone is 40 rad/s. To what angle does the belt rotate in one minute. Given your answer a) in rad b) in rev and c) in degree.​

Answer 1

The grindstone's belt rotates 2400 radians, 381.94 revolutions, and 137526 degrees in one minute.

Step-by-step explanation:

The angular velocity of the grindstone's belt can be used to calculate the angle it rotates in a given time period.

To find the angle in radians, multiply the angular velocity by the time period. In this case, the angular velocity is 40 rad/s, and the time period is 1 minute, which is equal to 60 seconds.

So, the angle in radians is 40 rad/s * 60 s = 2400 radians.

To convert the angle to revolutions, divide it by 2π, since there are 2π radians in one revolution.

2400 radians / (2π) ≈ 381.94 revolutions.

To convert the angle to degrees, multiply it by 180/π, since there are 180 degrees in π radians.

2400 radians * (180/π) ≈ 137526 degrees.