MCQ
A particle moves with constant angular velocity in circular path of certain radius and is acted upon by a certain centripetal force $F$. If the angular velocity is doubled, keeping radius the same, the new force will be
  • A
    $2F$
  • B
    ${F^2}$
  • $4F$
  • D
    $F/2$

Answer

Correct option: C.
$4F$
c
(c) $F = m{\omega ^2}R$ $\therefore$ $F \propto {\omega ^2}$ ($m$ and $R$ are constant)

If angular velocity is doubled force will becomes four times.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

A body moving towards a finite body at rest collides with it. It is possible that:
  1. Both the bodies come to rest.
  2. Both the bodies move after collision.
  3. The moving body comes to rest and the stationary body starts moving.
  4. The stationary body remains stationary, the moving body changes its velocity.
The velocity $(v)-$ time $(t)$ plot of the motion of a body is shown below:

(image)

The acceleration $(a)-$ time $(t)$ graph that best suits this motion is :

$10$ divisions on the main scale of a Vernier calliper coincide with $11$ divisions on the Vernier scale. If each division on the main scale is of $5$ units, the least count of the instrument is :
In a tug-of-war contest, two men pull on a horizontal rope from opposite sides. The winner will be the man who
A stone is projected vertically up from the bottom of a water tank. Assuming no water resistance it will go up and come down in same time but if water drag is present then the time it takes to go up, $t_{up}$ and the time it takes to come down, $t_{down}$ are related as
A car goes around uniform circular track of radius $R$ at a uniform speed $v$ once in every $T$ seconds. The magnitude of the centripetal acceleration is $a_c$. If the car now goes uniformly around a larger circular track of radius $2 R$ and experiences a centripetal acceleration of magnitude $8 a_c$. Then, its time period is
To paint the side of $a$ building, painter normally hoists himself up by pulling on the rope $A$ as in figure. The painter and platform together weigh $200N$. The rope $B$ can withstand $300N$. Then
The angular velocity of rotation of star (of mass $M$ and radius $R$) at which the matter start to escape from its equator will be
The dimensional formula for electric flux is $..........$
Shows a lamina in x-y plane. Two axes z and z′ pass perpendicular to its plane. A force F acts in the plane of lamina at point P as shown. Which of the following are true? (The point P is closer to z′-axis than the z-axis)