Question

You are told that a basketball player spins the ball on his finger with an angular acceleration of 110 rad/s2. (10%) Problem 9: Incorrect Answer The provided answer is not correct and no specific feedback is available. Please view available hints and review the relevant material. Close What is the ball's final angular speed, in radians per second, if the ball starts from rest and the acceleration lasts 2.5 s? Grade Summary 35 5% Deductions Potential 95% Submissions Attempts remaining: 3 (5% per attempt) detailed view sin( tan cos( ( 7 8 9 HOME cotan asin acos 4 6 sinh( cotanh( atan cosh acotan tanh Degrees Radians / 1 2 3 5% 1 0 END VO BACKSPACE CLEAR DEL Submit Hint Feedback I give up! Hints: 1% deduction per hint. Hints remaining: 1 Feedback: 1% deduction per feedback

Answer 1

Angular acceleration of the ball = $\alpha$ = 110 rad/s²

Initial angular velocity of the ball = $\omega$₁ = 0 rad/s (Starts from rest)

Final angular velocity of the ball = $\omega$₂

Time period of acceleration = T = 2.5 sec

$\omega$₂ = $\omega$₁ + $\alpha$T

$\omega$₂ = 0 + (110)(2.5)

$\omega$₂ = 275 rad/s

Final angular speed of the ball = 275 rad/s