The angular position of a point over a r...

The angular position of a point over a rotating flywheel is changing according to the relation, `theta = (2t^3 - 3t^2 - 4t - 5)` radian. The angular acceleration of the flywheel at time, t = 1 s is

Zero

4 rad/`s^2`

6 rad/`s^2`

12 rad/`s^2`

Text Solution

Verified by Experts

Topper's Solved these Questions

TEST 3
AAKASH INSTITUTE|Exercise EXAMPLE|54 Videos
TEST 5
AAKASH INSTITUTE|Exercise EXAMPLE|190 Videos

Similar Questions

Explore conceptually related problems

The instantaneous angular position of a point on a rotating wheel is given by the equation theta(t) = 2t^(3) - 6 t^(2) The torque on the wheel becomes zero at

The angular position of a point on the rim of a rotating wheel is given by theta=4t^(3)-2t^(2)+5t+3 rad. Find (a) the angular velocity at t=1 s , (b) the angular acceleration at t=2 s . (c ) the average angular velocity in time interval t=0 to t=2 s and (d) the average angular acceleration in time interval t=1 to t=3 s .

The position x of a particle varies with time t according to the relation x=t^3+3t^2+2t . Find the velocity and acceleration as functions of time.

The angular displacement of a particle is given by theta =t^3 + t^2 + t +1 then,the angular acceleration of the particle at t=2 sec is ……. rad s^(-2)

the angular velocity omega of a particle varies with time t as omega = 5t^2 + 25 rad/s . the angular acceleration of the particle at t=1 s is

Angular displacement ( theta ) of a flywheel varies with time as theta=2t+3t^2 radian. The angular acceleration at t=2s is given by

The angular displacement of a flywheel varies with time as theta = at + bt^(2)-ct^(3) . Then the angular acceleration is given by

The position vector of a particle changes with time according to the relation vec(r ) (t) = 15 t^(2) hat(i) + (4 - 20 t^(2)) hat(j) What is the magnitude of the acceleration at t = 1?

If the displacement x of a particle (in metre) is related with time (in second) according to relation x = 2 t^3 - 3t^2 +2 t + 2 find the position, velocity and acceleration of a particle at the end of 2 seconds.

AAKASH INSTITUTE-TEST 4-EXAMPLE

A single force acts on a particle situated on the negative x-axis. The...
Text Solution
|
Ten seconds after an electric fan is turned on, the fan rotates at 300...
Text Solution
|
The angular position of a point over a rotating flywheel is changing a...
Text Solution
|
Keeping moment of inertia constant, the angular momentum of a body is ...
Text Solution
|
The radius of gyration of a hollow sphere of radius R about an axis al...
Text Solution
|
The two arms of a balanced are of unequal length. An object when place...
Text Solution
|
From a ring of mass M and radius R, a 30^o sector is removed. The mome...
Text Solution
|
The moment of inertia of a uniform square plate of mass M and edge len...
Text Solution
|
A cycle tyre of mass M and radius R is in pure rolling over a horizont...
Text Solution
|
A boy of mass 30 kg is standing at one end on a stationary boat over a...
Text Solution
|
A uniform plank is supported by two equal 120 N forces at x and y as s...
Text Solution
|
A thin uniform wire of mass m and length l is bent into to shape of a ...
Text Solution
|
A ring rolls down an inclined plane and acquires a velocity v upon rea...
Text Solution
|
A thin ring of mass m and radius R is in pure rolling over a horizonta...
Text Solution
|
A ring is rolling without slipping. The ratio of translational kinetic...
Text Solution
|
The moment of inertia of a cube of mass M and edge length a about an a...
Text Solution
|
The moment of inertia of a solid sphere of radius R about an axis pass...
Text Solution
|
A hollow sphere rolls down a rough inclined plane whose angle of incli...
Text Solution
|
A body of mass m is projected with a velocity u at an angle theta with...
Text Solution
|
A particle of mass 300 g is moving with a speed of 20 ms^-1 along the ...
Text Solution
|