English

Solve the following problem. A particle moves in a circle with constant speed of 15 m/s. The radius of the circle is 2 m. Determine the centripetal acceleration of the particle. - Physics

Advertisements
Advertisements

Question

Solve the following problem.

A particle moves in a circle with a constant speed of 15 m/s. The radius of the circle is 2 m. Determine the centripetal acceleration of the particle.

Sum
Advertisements

Solution

Given: v = 15 m/s, r = 2m

To find: Centripetal acceleration (a)

Formulae: a = `"v"^2/"r"`

Calculation: From formula,

a = `(15)^2/2 = 225/2`

∴ a = 112.5 m/s2

The centripetal acceleration of the particle is 112.5 m/s2.

shaalaa.com
  Is there an error in this question or solution?
Chapter 3: Motion in a Plane - Exercises [Page 46]

APPEARS IN

Balbharati Physics [English] Standard 11 Maharashtra State Board
Chapter 3 Motion in a Plane
Exercises | Q 3. (x) | Page 46

RELATED QUESTIONS

A stone tied to the end of a string 80 cm long is whirled in a horizontal circle with a constant speed. If the stone makes 14 revolutions in 25 s, what is the magnitude and direction of acceleration of the stone?


An aircraft executes a horizontal loop of radius 1.00 km with a steady speed of 900 km/h. Compare its centripetal acceleration with the acceleration due to gravity.


Read the statement below carefully and state, with reason, if it is true or false:

The velocity vector of a particle at a point is always along the tangent to the path of the particle at that point.


A vehicle is moving on a circular track whose surface is inclined towards the horizon at an angle of 10°. The maximum velocity with which it can move safely is 36 km / hr. Calculate the length of the circular track. [π = 3.142]


Is it possible to have an accelerated motion with a constant speed? Explain


State True or False

The earth moves around the sun with a uniform.


A uniform metre rule of mass 100g is balanced on a fulcrum at mark 40cm by suspending an unknown mass m at the mark 20cm.

To which side the rule will tilt if the mass m is moved to the mark 10cm ?


Name the force required for uniform circular motion. State its direction.


What is a conical pendulum?


Answer the following question.

Show that the centripetal force on a particle undergoing uniform circular motion is -mrω2.


Solve the following problem.

A car moves in a circle at a constant speed of 50 m/s and completes one revolution in 40 s. Determine the magnitude of the acceleration of the car.


A particle of mass m is executing uniform circular motion on a path of radius r. If p is the magnitude of its linear momentum, the radial force acting on the particle is ______.


Consider a simple pendulum of length 4 m. Its bob performs a circular motion in horizontal plane with its string making an angle 60° with the vertical. The Period of rotation of the bob is ____________.(Take g = 10 m/s2)


A wheel is 0.25 m in radius. When it makes 15 revolutions per minute, its linear speed at the point on circumference is ____________.


A body of mass ·m' is moving along a circle of radius 'r' with linear speed 'v'. Now, to change the linear speed to `V/2` and to move it along the circle of radius '4r', required change in the centripetal force of the body is ______.


A mass 'm' is tied to one end of a spring and whirled in a horizontal circle with constant angular velocity. The elongation in the spring is 1 cm. If the angular speed is doubled, the elongation in the spring is 6 cm. The original length of the spring is ______.


The given graph represents motion with ______ speed.


Which of the following is correct about uniform circular motion

  1. the direction of motion is continuously changed
  2. the direction of motion is not changed
  3. speed and direction both remain constant
  4. speed is constant but the direction is changing

It is possible to have objects moving with uniform velocity but non-uniform acceleration.


A flywheel at rest is to reach an angular velocity of 24 rad/s in 8 second with constant angular acceleration. The total angle turned through during this interval is ______.


The distance of the Sun from earth is 1.5 × 1011 m and its angular diameter is (2000) s when observed from the earth. The diameter of the Sun will be ______.


A ceiling fan rotates about its own axis with some angular velocity. When the fan is switched off the angular velocity becomes `(1/4)^"th"` of the original in time 't' and 'n' revolutions are made in that time. The number of revolutions made by the fan during the time interval between switch off and rest are ______. (Angular retardation is uniform)


A particle moves along a circle of radius r with constant tangential acceleration. If the velocity of the particle is v at the end of second revolution, after the revolution has started, then the tangential acceleration is ______.


A simple pendulum of length l has maximum angular displacement θ. The maximum kinetic energy of the bob of mass m is ______.

(g = acceleration due to gravity)


Two bodies of masses 10 kg and 5 kg moving in concentric orbits of radii R and r such that their periods are the same. Then the ratio between their centripetal accelerations is ______.


The relationship between an object's linear velocity (v) and its angular velocity (ω) in a circular path of radius (r) is given by:


In uniform circular motion, although the speed is constant, why does acceleration occur?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×