23367.The angle between radius vector and centripetal acceleration is
$\dfrac{\pi}{2}$rad
2$π$ rad
$\dfrac{3\pi}{2}$rad
$π$ rad
23368.The angular velocity of a fly wheel increases from 0 to 40 rad/s, in 8 seconds. What is its total angular displacement in this time?
80 rad
160 rad
200 rad
120 rad
23369.The earth (mass = 6 × 1024 kg), revolves around the sun with an angular velocity of 2 × 10–7 rad/s, in a circular orbit of radius 1.5 × 108 k. The force exerted by the sun on the earth is
zero
18 × 1020 N
27 × 1030 N
3.6 × 1022 N
23370.What will be the maximum speed of a car on a road turn of radius 30 m, if the coefficient of friction between the tyres and the road is 0.4 (Take g = 9.8 m/s2)
10.84 m/s
9.84 m/s
8.84 m/s
6.84 m/s
23371.The radius of a curved path on a national highway is R. The width of a road is b. The outer edge of the road is raised by ‘h’ w.r.t. the inner edge, so that a car with a velocity V can safely pass over it. What is the value of h?
$\dfrac{Rg}{bv^2}$
$\dfrac{v^2b}{R}$
$\dfrac{v}{bgR}$
$\dfrac{v^2b}{Rg}$
23372.The ratio of angular speed of minute hand and hour hand of a watch is
6 : 1
1 : 6
1 : 12
12 : 1
23373.In a tension of a string is 6.4 N. Load at the lower end of a string is 0.1 kg the length of string is 6 m then find its angular velocity? (g = 10 m/sec2)
4 rad/sec
3 rad/sec
2 rad/sec
1 rad/sec
23374.A person with his hands in his pocket is skating on ice at the rate of 10 m/s and describes a circle of radius 50 m. What is his inclination to the vertical? (g = 10 m/s2)
tan–1 $\dfrac{1}{2}$
tan–1 $\dfrac{1}{5}$
tan–1 $\dfrac{3}{5}$
tan–1 $\dfrac{1}{10}$
23375.When a vehicle is moving along the horizontal curve road, centripetal force is provided by
vertical component of normal reaction
horizontal component of normal reaction
frictional force between road surface and tyres
all of these
23376.When particle revolves with uniform speed on a circular path
no force acts on it
no acceleration acts on it
no work is done by it
its velocity is constant