A wheel 0.5m in radius is moving with a speed of 12m/s.find its angular speed ?
If you mean a point on the edge of the wheel, then recall the relationship between linear speed v and angular speed ω:
v = rω
since arc length s = rθ
To find the angular speed of the wheel, we need to use the formula for linear speed and angular speed. The linear speed, in this case, is given as 12 m/s, and the radius is given as 0.5 m.
The formula relating linear speed to angular speed is:
Linear speed = Radius * Angular speed
Rearranging the formula, we get:
Angular speed = Linear speed / Radius
Now, let's plug in the given values into the equation:
Angular speed = 12 m/s / 0.5 m
By dividing 12 m/s by 0.5 m, we can calculate the exact angular speed of the wheel.