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 goes round a circular track of `440` metres length in `20` s

1.	A cyclist goes round a circular track of `440` metres length in `20` seconds Find the angle that his cycle makes with the verticle.
Answer» Correct Answer - `35^(@) 12` . Let r be radius of the track `2pi r = 440 m` `r = (440)/(2pi) m, upsilon = (2pi r)/(t) = (440)/(20) = 22ms^(-1)` As `tan theta = (upsilon^(2))/(rg)` `:. Tan theta =(22xx22xx2pi)/(440 xx 9.8) = 0.7055` `theta = 35^(@) 12` .

Discussion

No Comment Found

Related InterviewSolutions

A horizontal force of `1.2kg` is applied on a `1.5kg` block, which rests on a horizontal surface If the coefficient of friction is `0.3` find the acceleration produced in the block.
A block of mass m slides down on a wedge of mass M as shown in figure .Let `a_(1)` be the asseleration of the acceleration of and `a_(2)` the the acceleration od block 1`N_(1)` is the normal reaction between block and wedge and `N_(2)` the normal reaction between wedge and gound .frication is absent everwhere .Select the correct alternative(s) A. `N_(2)lt(M+m)g`B. `N_(2)ltM(g cos theta-|a_(1)|sintheta)`C. `N_(1)sin theta=M|a_(1)|`D. `ma_(2)=-Ma_(1)`
A hammer weighing 3 kg moving with a velocity of `10ms^(-1)` strikes against the head fo a spike and drives it into a block of wood. If the hammer comes to rest in `0.025` s, find (i) the impulse and (ii) the average force on the head of the spike.
A man of mass 70 kg stands on a weighing machine in a lift, which is moving (a) upwards with a uniform speed of `10ms^(-1)` (b) downwards with a uniform acceleration of `5 ms^(-2)` (c) upwards with a uniform acceleration of `5 ms^(-2)` What would be the readings on the scale in each case ? (d) What would be the reading if the lift mechanism failed and it hurtled down freely under gravity ?
A body wights 8 g when placed on one pan and 18 g when placed on the other pan of a false balance .If the beam is horizontal when both the pans are empty the weght of the body is 4 xg Find value of x.
A racing car travels on a track (without banking) ABCDEFA ABC is a circular are of radius ` 2 R.CD` and `FA` are strainght paths of length `R` and `DEF` is a circular are of radius `R=100m` The co- efficient of friction on the road is `mu = 0.1` The maximum speed of ther car is `50ms^(-1)` Find the minimum time for completing one round .
A constant force acting on a body of mass of 5 kg change its speed from `5ms^(-1) "to" 10ms^(-1)` in 10 s without changing the direction of motion. The force acting on the body isA. 1.5NB. 2NC. 2.5ND. 5N
Given the magnitude and direction of the force acting on a stone of mass 0.1 kg (a) just after it is dropped from the window of a stationary train (b) just after it is dropped from the window of a train running at a constant velocity of `36 km//hr` (c) just after it is droped from the window of a train accelerating with `1 ms^(-2)` (d) lying on the floor of a trin which is accelerating with `1 ms^(-2)` the stone being at rest relative to the train . Neglect the resistance of air throuhout .
When forces `F_1`, `F_2`, `F_3`, are acting on a particle of mass m such that `F_2` and `F_3` are mutually perpendicular, then the particle remains stationary. If the force `F_1` is now removed then the acceleration of the particle isA. (a) `F//m`B. (b) `F_2F_3//mF_1`C. (c) `(F_2-F_3)//m`D. (d) `F_2//m`
If a body looses half of its velocity on penetrating 3 cm in a wooden block, then how much will it penetrate more before coming to rest?A. (a) 1 cmB. (b) 2 cmC. (c) 3 cmD. (d) 4 cm

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

Discussion

No Comment Found

Related InterviewSolutions

Reply to Comment