Question

A flywheel (I= 50 kg-m²) starting from rest acquires an angular velocity of 200.0 rad/s while subject to a constant torque from a motor for 5 s.
(a) What isthe angular acceleration of the flywheel?
(b) What is the magnitude of the torque?

Answer 1

Explanation:

(a) Given:

ω₀ = 0 rad/s

ω = 200.0 rad/s

t = 5 s

Find: α

ω = αt + ω₀

200.0 rad/s = α (5 s) + 0 rad/s

α = 40 rad/s²

(b) ∑τ = Iα

τ = (50 kg m²) (40 rad/s²)

τ = 2000 Nm

Answer 2

The angular velocity is:

(a) Given:

ω₀ = 0 rad/s

ω = 200.0 rad/s

t = 5 s

Find: a

ω = αt + ω₀

200.0 rad/s = α (5 s) + 0 rad/s

α = 40 rad/s²

(b) ∑τ = Iα

τ = (50 kg m²) (40 rad/s²)

τ = 2000 Nm

What is a constant torque motor?

A regular torque motor is a brushless motor, which reduces warmness in the rotor and stator area. they are eighty% green as compared to p.c automobiles which are rated at 60% green. Additionally, they don't want a capacitor to start and run.

A regular torque load means that the torque required to maintain the burden of walking is identical at all speeds. A good instance is a drum-kind hoist, in which the torque required varies with the load at the hook, but no longer with the speed of hoisting.

Learn more about constant torque here https://brainly.com/question/20691242

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