A flywheel has constant angular acceleration. You know ω0, α, and θ, and you want final angular velocity; elapsed time is neither known nor wanted. Which relationship gives ω in one step?

A disk has constant angular acceleration. You know ω0, α, and t, and you want angular displacement θ during that time. Which relationship should you use?

A wheel rotates with constant angular acceleration. You know ω0, final ω, and t, and you want α. Which equation is the best starting point?

A turntable has constant angular acceleration. You know ω0, final ω, and t, and you want θ. Which relationship gives θ directly?

A rotor has constant angular acceleration. You know θ, ω0, and t, and you want α. Which equation can be rearranged to solve for α?

A centrifuge rotor is turning at 2.0 rad/s when it gains a constant angular acceleration of $3.0{\text{ rad/s}}^2$ for 4.0 s. Through what angle does it turn?

A carousel speeds up from 1.5 rad/s with a constant angular acceleration of $0.80{\text{ rad/s}}^2$ for 5.0 s. What is its final angular velocity?

A grinding wheel spinning at 12 rad/s has a constant angular acceleration of $4.0{\text{ rad/s}}^2$ for 3.0 s. What is its final angular velocity?

A lab disk starts at 6.0 rad/s and speeds up at $2.0{\text{ rad/s}}^2$ for 5.0 s with constant angular acceleration. What angular displacement occurs?

A flywheel has ω0 = 8.0 rad/s and $\alpha =1.5{\text{ rad/s}}^2$ as it turns through 40 rad. Time is not known or needed. What is its final angular velocity?

A turntable starts at 3.0 rad/s and has a constant angular acceleration of $1.2{\text{ rad/s}}^2$ for 6.0 s. Through what angle does it turn?

A wheel has ω0 = 5.0 rad/s and $\alpha =3.0{\text{ rad/s}}^2$ while turning through 30 rad. The time is not known. What is the final angular velocity?

A rotor is already spinning at 10 rad/s and speeds up at $2.5{\text{ rad/s}}^2$ for 4.0 s. What is its final angular velocity?

A ceiling fan turning counterclockwise at 24 rad/s coasts to rest in 8.0 s with constant angular acceleration. Counterclockwise is positive. What is α?

A drill bit rotating clockwise at 18 rad/s is braked to rest in 6.0 s with constant angular acceleration. Clockwise is positive. What is α?

A wheel spinning in the positive sense at 16 rad/s slows with constant angular acceleration $\alpha =-2.0{\text{ rad/s}}^2$. How long does it take to stop?

A braked wheel has ω0 = 20 rad/s in the positive sense and turns through 50 rad before stopping. Time is not known. What is its constant α?

A potter's wheel has initial angular velocity 30 rad/s and constant angular acceleration $-5.0{\text{ rad/s}}^2$. How long does it take to stop?

A fan spinning in the positive sense at 10 rad/s turns through 25 rad before coming to rest. The angular acceleration is constant. What is α?

A wheel slows from 18 rad/s to rest while turning through 72 rad with constant angular acceleration. The rotation is in the positive sense. How long does it take?

A drill chuck starts from rest and speeds up at $4.0{\text{ rad/s}}^2$ for 6.0 s. One revolution is 2π rad. Through how many revolutions does it turn?

A wheel starts at 3.0 rad/s and speeds up at $2.0{\text{ rad/s}}^2$ for 5.0 s. Using 1 rev = 2π rad, through how many revolutions does it turn?

A motor shaft speeds up from 5.0 rad/s to 17 rad/s in 4.0 s with constant angular acceleration. How many revolutions does it turn during that time?

A flywheel starts at 6.0 rad/s and speeds up at $1.5{\text{ rad/s}}^2$ for 8.0 s. How many revolutions does it turn in that time?

A record starts from rest and reaches 20 rad/s in 5.0 s under constant angular acceleration. How many revolutions does it make during the 5.0 s?