The linear velocity of a wheel rotating at an angular velocity of one revolution per minute depends on the radius of the wheel. To calculate the linear velocity, you can use the formula:
Linear velocity = Angular velocity x Radius
However, since the angular velocity is given in revolutions per minute, you need to convert it to radians per second first.
One revolution is equal to 2π radians, and there are 60 seconds in a minute. So, the conversion factor is:
1 revolution/minute = 2π radians/60 seconds
Therefore, the angular velocity in radians per second is:
Angular velocity = (1 revolution/minute) x (2π radians/60 seconds) = π/30 radians/second
Now, if you know the radius of the wheel, you can multiply it by the angular velocity to find the linear velocity. Let's assume the radius of the wheel is denoted by "r."
Linear velocity = (π/30 radians/second) x r
So, the linear velocity of the wheel rotating at an angular velocity of one revolution per minute would be (π/30) times the radius of the wheel.