Home
Class 12
PHYSICS
A particle is travelling in a circular p...

A particle is travelling in a circular path of radius `4m`. At a certain instant the particle is moving at ` 20m/s ` and its acceleration is at an angle of `37^(@)` from the direction to the centre of the circle as seen from the particle
(i) At what rate is the speed of the particle increasing?
(ii) What is the magnitude of the acceleration?

Text Solution

Verified by Experts

The correct Answer is:
(i) `75 m//s^(2)`, (ii) `125 m//s^(2)`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • CIRCULAR MOTION

    ALLEN |Exercise Dynamics of circular motion|8 Videos

  • CIRCULAR MOTION

    ALLEN |Exercise EXERCISE(S-2)|6 Videos

  • CIRCULAR MOTION

    ALLEN |Exercise EXERCISE (J-A)|6 Videos

  • BASIC MATHS

    ALLEN |Exercise Question|1 Videos

  • CURRENT ELECTRICITY

    ALLEN |Exercise EX.II|66 Videos

Similar Questions

Explore conceptually related problems

A motor car is travelling at 60m//s on a circular road of radius 1200m. It is increasing its speed at the rate of 4m//s^(2) . The acceleration of the car is:

A particles is moving on circular path of radius R with constant angular velocity omega . Its centripetal acceleration will be …... .

Knowledge Check

  • Acceleration of a particle a= -bx , where x is the displacement of particle from mean position and b is constant. What is the periodic time of oscillation ?

    A
    `2pi sqrt(b)`
    B
    `(2pi)/(sqrt(b))`
    C
    `(2pi)/(b)`
    D
    `2 sqrt(((pi)/(b))`

  • A particle of mass m moves on a circular path of r radius . Its centripetal acceleration is kt^(2) where k is a constant and t is time , Express power as function of t .

    A
    kmt
    B
    ktmr
    C
    km/t
    D
    kmr/t

    • Similar Questions

    Explore conceptually related problems

    A particle is performing circular motion of radius 1 m. Its speed is v=(2t^(2)) m//s . What will be magnitude of its acceleration at t=1s .

    Throughout a time interval, while the speed of a particle increases as it moves along x-axis, its velocity and acceleration might be

    For particle moving on circular path with constant speed angle between instantaneous velocity and instantaneous acceleration will be …... .

    A particle is moving along a circular path ofradius R in such a way that at any instant magnitude of radial acceleration & tangential acceleration are equal. 1f at t = 0 velocity of particle is V_(0) . Find the speed of the particle after time t=(R )//(2V_(0))

    A particle is moving in a circular orbit with a constant tangential acceleration. After a certain time t has elapsed after the beginning of motion, the between the total acceleration a and the direction along the radius r becomes equal to 45^(@) . What is the angular acceleration of the particle.

    A particle of mass m moves on a circular path of radius r . Its centripetal acceleration is kt^(2) , where k is a constant and t is time . Express power as function of t .

    Home
    Profile