To determine the linear velocity of a wheel rotating at an angular velocity of one revolution per minute, we need to convert the angular velocity to radians per second and then multiply it by the radius of the wheel.
Given: Angular velocity (ω) = 1 revolution per minute
To convert from revolutions per minute to radians per second, we use the conversion factor: 1 revolution = 2π radians
1 minute = 60 seconds
So, the angular velocity in radians per second (ω_rad) can be calculated as follows:
ω_rad = (1 revolution/minute) * (2π radians/1 revolution) * (1 minute/60 seconds)
ω_rad = π/30 radians/second
Now, to find the linear velocity (v) of a point on the wheel, we multiply the angular velocity by the radius (r) of the wheel:
v = ω_rad * r
Keep in mind that the radius of the wheel is crucial for determining the linear velocity. If you provide the radius, we can calculate the linear velocity for you.