The outer edge of a truck tire that has a radius of 20cm has a velocity of 21 m/s. what is the angular velocity of the tire in rad/s?
w=v/r change 21cm to m.
To find the angular velocity of the tire in rad/s, we need to know the relationship between the linear velocity (v) and the angular velocity (ω) of a rotating object. This can be calculated using the formula:
v = ω * r
Where:
v is the linear velocity
ω is the angular velocity
r is the radius of the rotating object
In this case, we are given the linear velocity (v) as 21 m/s and the radius (r) as 20 cm (which we need to convert to meters).
First, let's convert the radius to meters:
20 cm = 0.20 m (since 1 meter is equal to 100 centimeters)
Now, we can rearrange the formula to solve for the angular velocity (ω):
ω = v / r
Substituting the given values:
ω = 21 m/s / 0.20 m
Calculating this:
ω = 105 rad/s
Therefore, the angular velocity of the tire is 105 rad/s.