A wheel rotates at 100 revolutions per second. find the angle velocity in radians per second.
1 rotation = 2π radians
so the angular velocity at 100 revs/sec
= 100(2π) radians/sec
= ....
62.83 radians/sec
To find the angular velocity in radians per second, we need to convert the number of revolutions to radians.
1 revolution is equal to 2π radians. In other words, one complete rotation around the wheel is equal to 2π radians.
So, to convert the number of revolutions per second to radians per second, we can use the following formula:
Angular velocity (in radians per second) = Number of revolutions per second x 2π
In this case, the wheel rotates at 100 revolutions per second. Let's substitute this value into the formula:
Angular velocity = 100 revolutions per second x 2π
Angular velocity = 200π radians per second
Therefore, the angular velocity of the wheel is 200π radians per second.
To find the angular velocity in radians per second, you need to convert the given information from revolutions per second to radians per second.
1 revolution is equal to 2π radians (since one revolution is equivalent to 360 degrees, and there are 2π radians in a full circle).
So, the angular velocity in radians per second can be calculated as follows:
Angular velocity (in radians per second) = Revolutions per second x 2π
Given that the wheel rotates at 100 revolutions per second, the calculation would be:
Angular velocity (in radians per second) = 100 revolutions per second x 2π
Now, we can compute the answer:
Angular velocity (in radians per second) = 100 x 2π
Therefore, the angular velocity of the wheel is 200π radians per second.