A flywheel has a constant angular acceleration of −0.84 rad/s^2. What is its angular velocity 15 s after its angular velocity is 5.0 rad/s?
v = initial v + a t
v = 5 - 0.84 (15)
To find the angular velocity of the flywheel 15 seconds after its initial angular velocity of 5.0 rad/s, we can use the following formula:
ω = ω₀ + αt
Where:
ω is the final angular velocity
ω₀ is the initial angular velocity
α is the constant angular acceleration
t is the time elapsed
Given:
ω₀ = 5.0 rad/s
α = -0.84 rad/s^2
t = 15 s
Let's substitute the values into the formula and calculate the angular velocity:
ω = 5.0 rad/s + (-0.84 rad/s^2) * 15 s
ω = 5.0 rad/s - 12.6 rad/s
ω = -7.6 rad/s
Therefore, the angular velocity of the flywheel 15 seconds after its initial angular velocity is 5.0 rad/s is -7.6 rad/s.