The angular speed of a motor wheel is in...

The angular speed of a motor wheel is increased from 600 rpm to 1560 rpm in 8 seconds. (i) What is its angular acceleration, assuming the acceleration to be uniform? (ii) How many revolutions does the engine make during this time?

Text Solution

Verified by Experts

`alpha=4pi" rads"^(-1)andn=144`

Topper's Solved these Questions

SYSTEMS OF PARTICLES AND ROTATIONAL MOTION
KUMAR PRAKASHAN|Exercise SECTION-B NUMERICALS FROM TEXTUAL EXERCISE|21 Videos
SYSTEMS OF PARTICLES AND ROTATIONAL MOTION
KUMAR PRAKASHAN|Exercise SECTION-B ADDITIONAL EXERCISE|12 Videos
SYSTEMS OF PARTICLES AND ROTATIONAL MOTION
KUMAR PRAKASHAN|Exercise SECTION-A (TRY YOURSELF (VSQs))|94 Videos
QUESTIONS ASKED IN JEE - 2020
KUMAR PRAKASHAN|Exercise Question|16 Videos
THERMAL PROPERTIES OF MATTER
KUMAR PRAKASHAN|Exercise Question Paper (Section - D) (Answer following in brief :) Each carry 4 marks|1 Videos

Similar Questions

Explore conceptually related problems

The angular speed of a motor wheel is increased from 1200 rpm to 3120 rpm in 16 seconds. (i) What is its angular acceleration, assuming the acceleration to be uniform? (ii) How many revolutions does the engine make during this time?

A motorboat starting from rest on a lake accelerates in a straight line at a constant rate of 3.0 ms^(-2) for 8.0 s. How far does the boat travel during this time?

A particle is revolving in a circle of radius 1 m with an angular speed of 12 rad/s. At t = 0, it was subjected to a constant angular acceleration alpha and its angular speed increased to (480/pi) rotation per minute (rpm) in 2 sec. Particle then continues to move with attained speed. Calculate (i) angular acceleration of the particle, (ii) tangential velocity of the particle as a function of time.

A player throwsa a ball upwards with an initial speed of 29.4 ms^(-1) . (i) What is the direction of acceleration during the upwared motion of the ball? (ii) What are the velocity and acceleration of the ball at the highest point of its motion? (iii) Choose the x=0 and t=0 to be the location and time of the ball at its highest point, vertically downward direction to be the positive direction of X-axis, and give the signs of positive, velocity and acceleration of the ball during its upward, and downward motion. (iv) To what height does the ball rise and after how long does the ball return to the player's hand?( Take g =9.8 ms^(-2) , and neglect air resistance).

Initial angular speed of wheel is 20 rad s^(-1) . Its angular displacement during 10 s is 100 rad then how many revolution it makes from initially to remain rest. What is its angular acceleration?

A particle is moving on a circular path of radius 1.5 m at a constant angular acceleration of 2 rad//s^(2) . At the instant t=0 , angular speed is 60//pi rpm. What are its angular speed, angular displacement, linear velocity, tangential acceleration and normal acceleration and normal acceleration at the instant t=2 s .

Angular position theta of a particle moving on a curvilinear path varies according to the equation theta=t^(3)-3t^(2)+4t-2 , where theta is in radians and time t is in seconds. What is its average angular acceleration in the time interval t=2s to t=4s ?

An insect trapped in a circular groove of radius 12 cm moves along the groov steadily and completes 7 revolutions in 100 s . (a) What is the angular speed , and the linear speed of the motion ? (b) Is the acceleration vector a constant vector ? What is its magnitude ?

A player throws a ball upwards with an initial speed of 29.4 ms^(-1) (a) What is the direction of acceleration during the upward motion of the ball ? (b) What are the velocity and acceleration of the ball at the highest point of its motion ? (c) Choose the x = 0 m and t=0 s to be the location and time of the ball at its highest point vertically downward direction to be the positive direction of x-axis and give the signs of position, velocity and acceleration of the ball during its upward and downward motion. (d) To what height does the ball rise and after how long does the ball return to the player's hands ? (Take g = 9.8 ms^(-2) and neglect air resistance).

KUMAR PRAKASHAN-SYSTEMS OF PARTICLES AND ROTATIONAL MOTION-SECTION-B NUMERICALS

What is the moment of inertia of a disc about one of its diameter?
Text Solution
|
What is the moment of inertia of a rod of mass M, length l about an ax...
Text Solution
|
What is the moment of inertia of a ring about a tangent to the circle ...
Text Solution
|
Obtain equation omega=omega(0)+alphat from first principle.
Text Solution
|
The angular speed of a motor wheel is increased from 1200 rpm to 3120 ...
Text Solution
|
A cord of negligible mass is wound round the rim of a fly wheel of mas...
Text Solution
|
Three bodies, a ring, a solid cylinder and a solid sphere roll down th...
Text Solution
|
In DeltaABC, mass of 100g, located on point A, mass of 200 g located o...
Text Solution
|
Find the centre of mass of uniform thin sheet as shown in figure.
Text Solution
|
Find the centre of mass of uniform thin sheet as shown in figure.
Text Solution
|
If veca=2hati-hatj-5hatk and vecb=hati+hatj+2hatk, then find scalar an...
Text Solution
|
If a position vector of a point is vecr=7hati+3hatj+hatk and force act...
Text Solution
|
Prove that moment of inertia of uniform ring of mass M and radius R ab...
Text Solution
|
Find the moment of inertia and radius of gyration of uniform cross-se...
Text Solution
|
Find the moment of inertia and radius of gyration of uniform cross-sec...
Text Solution
|
Find moment of inertia of a ring of mass 4kg and radius 20cm about its...
Text Solution
|
Initial angular speed of wheel is 20 rad s^(-1). Its angular displacem...
Text Solution
|
The angular speed of a motor wheel is increased from 600 rpm to 1560 r...
Text Solution
|
A cord of negligible mass is wound round the rim of a fly wheel of mas...
Text Solution
|
Three bodies, a ring, a solid cylinder and a solid sphere roll down th...
Text Solution
|