Question

The armature of a motor is accelerated uniformly from rest to a rotational velocity of 1800 rev/min in 10 seconds. the rotational acceleration of the motor is

Answer 1

The rotational acceleration of the motor can be determined using the formula: rotational acceleration = (final velocity - initial velocity) / time.

Step-by-step explanation:

The rotational acceleration of the motor can be determined using the formula:

rotational acceleration = (final velocity - initial velocity) / time

Convert the final velocity from rev/min to rad/s by multiplying it by 2π/60. Then, use the given equation to calculate the rotational acceleration.

Answer 2

The initial angular velocity of the motor is zero, while the final angular velocity is 1800 rev/min. Let's convert this into rad/s, keeping in mind that

`1 rev = 2 \pi rad`

`1 min = 60 s`
we have

`\omega_f = 1800 (rev)/(min) \cdot (2 \pi rad/rev)/(60 s/min)=188.4 rad/s`

And so now we can calculate the angular acceleration of the motor:

`\alpha = (\omega_f - \omega_i )/(t) = (188.4 rad/s -0)/(10 s)=18.8 rad/s^2`