Home
Class 11
PHYSICS
A car moves around a curve at a constant...

A car moves around a curve at a constant speed. When the car goes around the arc subtending `60^(@)` at the centre, then the ratio of magnitude of instantaneous acceleration to average acceleration over the `60^(@)` arc is `:`

A

`(pi)/(3)`

B

`(pi)/(6)`

C

`(2pi)/(3)`

D

`(5pi)/(3)`

Text Solution

Verified by Experts

The correct Answer is:
A
`|vec(Delta)V|=sqrt(v^(2)+v^(2)-2v^(2)cos 60^(@))=v`
`vec(a_(avg))=(|Deltavec(v)|)/(Deltat)=(v)/(t)=(3v^(2))/(piR)rArr a_(i)=(v^(2))/(R),(a_(i))/(a_(av))`
`=(v^(2)pi R)/(Rxx3v^(2))=(pi)/(3)`
Promotional Banner

Topper's Solved these Questions

  • DAILY PRACTICE PROBLEMS

    RESONANCE ENGLISH|Exercise dpp 52|7 Videos

  • DAILY PRACTICE PROBLEMS

    RESONANCE ENGLISH|Exercise dpp 53|5 Videos

  • DAILY PRACTICE PROBLEMS

    RESONANCE ENGLISH|Exercise DPP 50|5 Videos

  • CURRENT ELECTRICITY

    RESONANCE ENGLISH|Exercise Exercise|53 Videos

  • ELASTICITY AND VISCOCITY

    RESONANCE ENGLISH|Exercise Advanced Level Problems|9 Videos

Similar Questions

Explore conceptually related problems

If in two circles, arcs of the same length subtend angles 60^@ and 75^@ at the centre, find the ratio of their radii.

A car runs at constant speed around the horizontal race track shown in the figure. Over which portion of the track is the magnitude of the acceleration the greatest?

If in two circles, arcs of the same length subtend angles 60o and 75o at the centre, find the ratio of their radii.

A jeep runs around a curve of radius 0.3 km at a constant speed of 60ms^(-1) . The jeed covers a curve of 60^(@) arc

If the arcs of same length in two circles subtend angles of 60^(@) and 75^(@) at their centers. Find the ratio of their radaii.

A piece of wire 20 cm long is bent into the form of an arc of a circle, subtending an angle of 60^(@) at its centre. Find the radius of the circle.

A particle is moving on a circular path with constant speed v. it moves between two points A and B, which subtends and angle 60^(@) at the centre of circle, The magnitude of change in tis velocity and change and magnitude of its speed during motion from A to B are respectively

In two circles, arcs of equal length subtend angles of 60^0 and 75^0 at their centres, show that their radii are in the ratio 5:4

(a) Is it possible to be accelerating if you are travelling at constant speed? (b) Is it possible to move on a curved path with zero acceleration, constant acceleration, variable acceleration

If arcs of same length in two circles subtend angles of 60^0a n d75^0 at their centers, find the ratios of their radii.