Tangential and Radial Acceleration

The earth moves around the Sun in a near circular orbit of radius $1.8\times {10}^{11} \mathrm{m}.$ Its centripetal acceleration is:

Explain the reason for bending of a cyclist on a horizontal road while taking a turn.

The circumference of a circular track is $1.256 \mathrm{km}$. What is the tangent of the angle of banking of the track if the maximum speed, at which a car can be safely driven along it is$20 {\mathrm{ms}}^{-1}$ and $\mathrm{g}=10 {\mathrm{ms}}^{-2}$ ?

While taking turn on a curved road, a cyclist has to bend through a certain angle. This is done

How does friction affects turning of vehicle on circular track.

For a vehicle on a level road along a circular turn, friction is only force that acts towards the centre.

What is the purpose of banking of roads?

Describe the motion of a vehicle along a banked road.

Define simple pendulum and conical pendulum.

The time period of conical pendulum is given by

The maximum velocity for a particular banking angle depends on the mass of an object moving on the curved path.

The expression for the maximum speed of a vehicle in a horizontal circular motion on a banked road without friction is

Any net force causing uniform circular motion is called a tangential force.

A _____ force is a net force that acts on an object to keep moving along a circular path.

The relation between angular acceleration and tangential acceleration is given as

Define angular acceleration.

The SI unit of tangential acceleration is _____.

(Choose from meter per second/meter per second square)

Tangential acceleration becomes zero in a uniform circular motion.

A car is moving on a circular road of radius $150 \mathrm{m}$ with a coefficient of friction $0.6$. With what optimum velocity should the car be moved so that it crosses the turn safely.:

If a particle moves with an acceleration, then which of the following can remain constant ?