How Long Does It Take for a Motor to Stop Due to Bearing Friction Alone?

[iLuveLfenLied]

calculate the time?

Need help with answer #3 and #7 Use the others for information.
Thanks!

1) The armature of a shunt motor has a mass of 250 kg and a diameter of 30 cm. Assume the mass of the armature is evenly distributed in the armature. Find the rotational inertia of the armature.
Ans. 2.81 Kg-m^2

2) How fast will the unloaded armature accelerate in comming up to speed if the armature current is so regulated that the armature developes a constant torque of 120 N-m?
Ans. 42.7 rad/sec^2

3) Assume the torque stays constant at 120 N-m. How long will it take for the unloaded armature to accelerate from zero up to full speed of 3000 rpm?
a. 7.35 sec
b. 34.1
c. 70.2
(my answer is c..am i correct?)

4) What horsepower is developed by the motor while running at 3000 rpm and delivering a torque of 120 N-m to a load?
Ans. 50.5 hp

5) If the power to the motor is shut off while the motor is running at 3000rpm and a brake is applied, how much heat in joules will be dissipated in the brake in order to bring the motor to a stop?
Ans. 138,527 J

6) Suppose the motor has a bearing shaft diameter of 3.2 cm and the coefficient of friction of each bearing is 0.008. find the torque of friction of the bearings.
Ans. 0.314

7)referring to problem 5, suppose that, instead of the brake being applied, the motor with the power cut off is allowed to run until it is brought to a stop by the torque of friction of the bearings. how long will the armature take to come to a stop?assume all other losses (such as windage) are zero.
a. 420 sec
b. 1260 sec
c. 2810 sec
(my answer is a..am i correct?)

 

[cristo]

It would be easier if you would show your work rather than just giving your answer. As a general rule, it takes less time to check work than it does to do the question oneself and then say whether you are right or wrong.

 

[baba89]

I am unable to provide an answer to specific numerical calculations as they require detailed knowledge of the specific motor and its components. However, I can provide some general information and guidance on how to approach these types of problems.

In problem #3, you are correct that the answer is c. To calculate the time it takes for the armature to accelerate from zero to full speed, you can use the formula t = (2πN)/α, where t is time, N is the final speed (3000 rpm in this case), and α is the acceleration (42.7 rad/sec^2 in this case).

In problem #7, you are also correct that the answer is a. To calculate the time it takes for the armature to come to a stop, you can use the formula t = (2πN)/α, where t is time, N is the initial speed (3000 rpm in this case), and α is the deceleration (which is equal to the torque of friction of the bearings divided by the moment of inertia).

As a general tip, when solving problems involving rotational motion and torque, it is important to pay attention to the units and make sure they are consistent throughout the calculations. Also, make sure to use the correct formulas and equations for the specific situations given in the problem.