Home
Class 11
PHYSICS
A cyslist goes round a circular path of ...

A cyslist goes round a circular path of length 4000 m in 20 second. Calculate the angle through which he bends from vertical in order to maintain the balance

A

`sin^(-1)(0.64)`

B

`tan^(-1)(0.64)`

C

`cos^(-1) (0.64)`

D

None of these

Text Solution

Verified by Experts

(a) `400=2pir`
`therefore" " tantheta=(v^(2))/(rg)=((400/20)/(400/(2pi)))^(2)g`
`therefore" " tantheta=(400x2pi)/(400g)=(6.28)/(9.8)=0.64`
`therefore" " theta=tan^(-1)(0.64)`
Promotional Banner

Topper's Solved these Questions

  • CIRCULAR MOTION

    BITSAT GUIDE|Exercise BITAST Archives|5 Videos
  • ELASTICITY

    BITSAT GUIDE|Exercise BITSAT ARCHIVES|9 Videos

Similar Questions

Explore conceptually related problems

A cyclist goes round a circular track of 440 metres length in 20 seconds Find the angle that his cycle makes with the verticle.

A cyclist on the ground goes round a ciruclar path of circumference 34.3 m in sqrt(22) second. The angle made by him, with the vertical, will be:-

A cyclist moves around a circular path of radius 40sqrt3 m with a speed of 20 m//s . He must lean inwards at an angle theta with the vertical such that tan theta is equal to

Why does a cyclist lean inward when moving along a curved path?Determine the angle through which a cyclist bends from the vertical while negotiating a curve.

A motor cyclist going round on unbanked circular race course has to lean inwards, making an angle 21^(@) 49 ' with the vertical , in order to keep his balance. If the curve is 1 km long , then the speed of the cyclist will be, ( tan 21^(@) 49 =0.4003' g=9.8 m//s ^(2) )

A car driver is negotiating a curve of radius 100 m with a speed of 18 km//hr. The angle through which he has to lean from the vertical will be -

A body is moving with a uniform velocity of 10 ms^(-1) on a circular path of diameter 2.0 m. Calculate (i) the difference between the magnitude of the displacement of the body and the distance between the magnitude of the displacement of the body and the distance covered in half a round and (ii) the magnitude of the change in velocity of the body in half a round.

A ball thrown vertically upwards returns to the thrower in 20 second. Calculate the velocity with which it was thrown and the maximum height attained by the ball. Take g = 10 m//s^(2) .

A motor cyclist goes round a circular race course of diameter 320 m at 144 km h^(-1) . How far from the vertical must he lean inwards to keep his balance? Take g = 10 ms^(-2) .

A cyclist moves along a circular path of radius 70 m. If he completes one round in 11 s, calculate (i) total length of path, (ii) magnitude of the displacement, (iii) average speed, and (iv) magnitude of average velocity.