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Softa [21]
3 years ago
12

The angle turned through the flywheel of a generator during a time interval t is given by theta = at + bt^3 -ct^4, where a, b, a

nd c are constants. What is the expression for its angular acceleration?
Physics
1 answer:
Alenkinab [10]3 years ago
5 0

Answer:

α = 6bt - 12ct^2

Explanation:

The angle, θ, has been given as:

θ = at + bt^3 -ct^4

To obtain angular acceleration, α, we have to differentiate the angle twice, with respect to time, t.

Differentiating once will yield the angular velocity, ω:

ω = dθ/dt = a + 3bt^2 - 4ct^3

This can then be differentiated to obtain angular acceleration:

α =  dω/dt = 6bt - 12ct^2

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