Angular acceleration

posted by .

A flywheel of 480 mm diameter is accelerated with an angular velocity of 0.4 rad/s^-2 from rest by an electric motor until it is rotating at 400 revs/minute. Calculate:
a) the time of acceleration
b) the linear speed of the rim of the flywheel

My answer for (a) is 104.7 secs, and for (b) is 10 m/s.

Appreciate if someone could check these answers if correct. If wrong, can they point me in the right direction.
TIA

Final angular speed = (angular acceleration) * time

400 rpm = 41.89 rad/s = (ang. acc.) * t
t = 104.7 s

final linear speed = R * (final angular speed) = [(0.48 m)/2]*41.89 rad/s = 10.05 m/s, but it is OK to show two significant figures, (10 m/s)

Thanks for that.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. kinetics

    An exercise bicycle's flywheel is 30cm in diameter and 2.5 cm thick and is constructed from steel (density=7850 kg m3) its moment of inertia is 0.156 kg m2 about its axis of rotation a) calculate the mass of the flywheel b) calculate …
  2. kinetics

    An exercise bicycle's flywheel is 30cm in diameter and 2.5 cm thick and is constructed from steel (density=7850 kg m3) its moment of inertia is 0.156 kg m2 about its axis of rotation a) calculate the mass of the flywheel b) calculate …
  3. kinetics

    An exercise bicycle's flywheel is 30cm in diameter and 2.5 cm thick and is constructed from steel (density=7850 kg m3) its moment of inertia is 0.156 kg m2 about its axis of rotation a) calculate the mass of the flywheel b) calculate …
  4. kinetics

    An exercise bicycle's flywheel is 30cm in diameter and 2.5 cm thick and is constructed from steel (density=7850 kg m3) its moment of inertia is 0.156 kg m2 about its axis of rotation a) calculate the mass of the flywheel b) calculate …
  5. engineering mechanics

    An exercise bicycle's flywheel is 30cm in diameter and 2.5 cm thick and is constructed from steel (density=7850 kg m3) its moment of inertia is 0.156 kg m2 about its axis of rotation a) calculate the mass of the flywheel b) calculate …
  6. engineering mechanics

    An exercise bicycle's flywheel is 30cm in diameter and 2.5 cm thick and is constructed from steel (density=7850 kg m3) its moment of inertia is 0.156 kg m2 about its axis of rotation a) calculate the mass of the flywheel b) calculate …
  7. Physics

    A flywheel accelerates from rest to an angular velocity of 10.44rad/s at an angular acceleration of 51.57rad/s^2. The diameter of the flywheel is 1.16m. At this instant, calculate the resultant linear acceleration, in m/s^2, of a point …
  8. kinematics

    An exercise bicycle's flywheel is 30cm in diameter and 2.5 cm thick and is constructed from steel (density=7850 kg m3) its moment of inertia is 0.156 kg m2 about its axis of rotation a) calculate the mass of the flywheel b) calculate …
  9. science

    At time t =0, the current to the dc motor is reversed, resulting in an angular displacement of the motor shaft given by è = (198 rad/s)t – (24 rad/s2)t2 – (2 rad/s3)t3 (15 marks) a. At what time is the angular velocity of the …
  10. physics

    A disk rotates about its central axis starting from rest and accelerates with constant angular acceleration. At one time it is rotating at 7.8 rad/s; 60 radians later, its angular speed is 19 rad/s. Calculate (a) the angular acceleration …

More Similar Questions