A wheel starts from rest and rotates with
constant angular acceleration to an angular
speed of 9.3 rad/s in 1.39 s. Find the magnitude of the angular acceleration on the wheel
a = (V-Vo)/t = (9.3-0)/1.39 = 6.69 rad/s^2
To find the magnitude of the angular acceleration on the wheel, you can use the following formula:
ω = ω₀ + αt
Where:
ω is the final angular speed (9.3 rad/s),
ω₀ is the initial angular speed (0 rad/s since the wheel starts from rest),
α is the angular acceleration (what we want to find),
and t is the time interval (1.39 s).
Rearranging the formula, we get:
α = (ω - ω₀) / t
Substituting the given values:
α = (9.3 rad/s - 0 rad/s) / 1.39 s
Therefore, the magnitude of the angular acceleration on the wheel is:
α = 6.69 rad/s²