Home
Class 11
PHYSICS
A wheel rotates with an angular accelera...

A wheel rotates with an angular acceleration given by `alpha= 4at^(2)-3bt^(2)`, where t is the time and a and bare constants. If the wheel has an initial angular speed `w_(0)`, write the equations for (a) the angular speed and (b) the angle tumed through as functions of time.

Text Solution

Verified by Experts

(a)`at^(4)-bt^(3)+omega_(0)`, (b)`a(t^(5))/(5)-b(t^(4))/(4)+omega_(0)t`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • ROTATIONAL MECHANICS

    AAKASH SERIES|Exercise Numerical Exercise (LEVEL-2)|40 Videos

  • ROTATIONAL DYNAMICS

    AAKASH SERIES|Exercise PRACTICE SHEET (ADVANCED) Integer Type Questions|7 Videos

  • SIMPLE HARMONIC MOTION

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL - II)(PRACTICE SHEET (ADVANCED)) (INTEGER TYPE QUESTIONS)|3 Videos

Similar Questions

Explore conceptually related problems

The angle turned through by the flywheel of a generator during a time interval r is given by f=at+bt^(3)-ct^(4) ,where a, b, and care constants. What is the expression for its (a) angular speed and (b) angular acceleration?

The angle turned through by the flywheel of a generator during a time interval r is given by f=at+bt^(3)-ct^(4) ,where a, b, and care constants. What is the expression for its (a) angular speed and (b) angular acceleration?

Knowledge Check

  • A solid body rotates with deceleration about a stationary axis with an angular deceleration |alpha|= ksqrt(omega) where k is a constant and omega is the angular velocity of the body. If the initial angular velocity is omega_(0) then mean angular velocity of the body averaged over the whole time of rotation is

    A
    `(7omega_(0))/(3)`
    B
    `(4omega_(0))/(3)`
    C
    `(omega_(0))/(3)`
    D
    `7omega_(0)`

  • Starting from rest a wheel rotates with uniform angular acceleration 2 pi rad s^(-2) . After 4s, if the angular acceleration ceases to act, its angular displacement in the next 4s is

    A
    `8 pi rad`
    B
    `16 pi rad`
    C
    `24 pi rad`
    D
    `32 pi rad`

  • Starting from rest a wheel rotates with uniform angular acceleration 2pi rad s^(-2) . After 4s, if the angular acceleration ceases to act, its angular displacement in the next 4s is

    A
    `8pi rad `
    B
    `16pi rad`
    C
    `24pi rad `
    D
    `32pi rad`

    • Similar Questions

    Explore conceptually related problems

    Starting from rest a wheel rotates with uniform angular acceleration 2pi rad s^(-2) . After 4s, if the angular acceleration ceases to act, its angular displacement in the next 4s is

    Starting from rest a wheel rotates with uniform angular acceleration 2pi rad s^(-2) . After 4s, if the angular acceleration ceases to act, its angular displacement in the next 4s is

    Starting from rest a wheel rotates with uniform angular accelration 2pi rad s^(-2) . After 4s, if the angular acceleration ceases to act, its angular displacement in the next 4s is

    Starting from rest a wheel rotates with uniform angular acceleration 2pirads^(-2) . After 4s, if the angular acceleration ceases to act, its angular displacement in the next 4s is

    The linear momentum of a particle as a function of time t is given by p = a+bt, where a and b are positive constants. The force acting on the particle is

    Home
    Profile