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choli [55]
3 years ago
5

Angular velocity in the z direction of a flywheel is w(t)=A + Bt2 The numerical values of the constants are A=2.75 and B=1.50. W

hat is the angular acceleration α(t) when t=0s and t=5.00s?
Physics
1 answer:
Ivanshal [37]3 years ago
6 0

Answer:

α(0) = 0 rad/s²

α(5) = 15 rad/s²

Explanation:

The angular velocity of the flywheel is given as follows:

w(t) = A + B t²

where, A and B are constants.

Now, for the angular acceleration, we must take derivative of angular velocity with respect to time:

Angular Acceleration = α (t) = dw/dt

α(t) = (d/dt)(A + B t²)

α(t) = 2 B t

where,

B = 1.5

<u>AT t = 0 s</u>

α(0) = 2(1.5)(0)

<u>α(0) = 0 rad/s²</u>

<u></u>

<u>AT t = 5 s</u>

α(5) = 2(1.5)(5)

<u>α(5) = 15 rad/s²</u>

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