Answer:
296 rad
Step-by-step explanation:
time (t) = 4.84 s
angular acceleration (a) = 6.76 rad/s^{2}
angular velocity (ω) = 77.6 rad/s
what is the angular displacement (θ) of the wheel during this time?
from the equation of angular kinematics angular displacement (θ) = ω₀t +

where
- a is angular acceleration = 6.76
- ω₀ is initial angular acceleration and can be gotten from the formula below
ω = ω₀ + at
77.6 = ω₀ + (6.76 x 4.84)
ω₀ = 77.6 - (6.76 x 4.84) = 44.88 rad/s
- now we can substitute all required values into the formula for angular displacement
angular displacement (θ) =ω₀t +

angular displacement (θ) =

angular displacement (θ) = 296 rad