A mark on the rim of a rotating circular wheel of 0.50m radius is moving with a speed of 10s^-1a.find the angular speed
(speed / circumference) * 2 π = angular speed (in radians)
To find the angular speed, you need to understand the relationship between linear speed and angular speed.
The linear speed of a point on the rim of a rotating wheel is determined by two factors: the radius of the wheel and the angular speed at which it is rotating.
The formula for linear speed is given by:
v = rω
Where:
v is the linear speed,
r is the radius of the wheel, and
ω (omega) is the angular speed.
In this case, the radius of the wheel is given as 0.50m and the linear speed is given as 10s^-1.
Plugging in the known values, we can rearrange the formula to solve for ω:
ω = v / r
Substituting the values, we get:
ω = 10s^-1 / 0.50m
Simplifying this expression, we find:
ω = 20 rad/s
Therefore, the angular speed of the mark on the rim of the rotating circular wheel is 20 rad/s.