Question

Clothes dryer spins to angular speed 7.2 rad/s starting from angular speed 0 rad/s

Average angular acceleration is 1.88rad/s^2
Takes dryer 3.82 s to reach 7.2 rad/s
How many revolutions does the dryer make during this time

Answer 1

Step-by-step explanation:

initial angular speed ω₀ = 0

final angular speed = ω

time = t

angular acceleration α = 1.88 rad /s ² , θ = angle of rotation in radian

ω² = ω₀² +2 α θ

7.2² = 0 + 2 x 1.88 x θ

θ = 13.79 rad

let n be no of rotation

2πn = 13.79

2 x 3.14 x n = 13.79

n = 2.2