Advertisements
Advertisements
Question
Read the statement below carefully and state, with reason, if it is true or false:
The velocity vector of a particle at a point is always along the tangent to the path of the particle at that point.
Options
True
False
Advertisements
Solution
This statement is True.
Explanation:
At a point on a circular path, a particle appears to move tangentially to the path. Hence, the velocity vector of the particle is always along the tangent at a point.
APPEARS IN
RELATED QUESTIONS
An aircraft executes a horizontal loop of radius 1.00 km with a steady speed of 900 km/h. Compare its centripetal acceleration with the acceleration due to gravity.
Read the statement below carefully and state, with reason, if it is true or false:
The acceleration vector of a particle in uniform circular motion averaged over one cycle is a null vector.
Is it possible to have an accelerated motion with a constant speed? Name such type of motion.
A uniform linear motion is unaccelerated, while a uniform circular motion is an accelerated motion.
Name the force required for uniform circular motion. State its direction.
Solve the following problem.
A particle moves in a circle with a constant speed of 15 m/s. The radius of the circle is 2 m. Determine the centripetal acceleration of the particle.
A small sphere is attached to a cord and rotates in a vertical circle about a point O. If the average speed of the sphere is increased, the cord is most likely to break at the orientation when the mass is at ____________.
A particle performs uniform circular motion in a horizontal plane. The radius of the circle is 8 cm. The centripetal force acting on the particle is 15 N. Its kinetic energy is ____________.
Certain neutron stars are believed to be rotating at about 1 rev/s. If such a star has a radius of 1.6 km, the acceleration of an object on the equator of the star will be nearly ____________.
Select the WRONG statement.
A cyclist is riding with a speed of 43.2 km/h. As he approaches a circular turn on the road of radius 60 m, he applies brakes and reduces his speed at constant rate of 1.8 ms-2. The magnitude of the net acceleration of the cyclist is ______.
A body moves in a uniform circular motion ______.
Define uniform circular motion and give an example of it. Why is it called accelerated motion?
Earth also moves in circular orbit around sun once every year with on orbital radius of 1.5 × 1011 m. What is the acceleration of earth (or any object on the surface of the earth) towards the centre of the sun? How does this acceleration compare with g = 9.8 m/s2?
A wet open umbrella is held upright and is rotated about the handle at a uniform rate of 21 revolutions in 44 s. If the rim of the umbrella is a circle of 1 metre in diameter and the height of the rim above the floor is 1.5 m, the drops of water spun off the rim and hit the floor at a horizontal ______ m from the umbrella.
A thin uniform circular disc of mass M and radius R is rotating in a horizontal plane about an axis passing through its centre and perpendicular to its plane with an angular velocity ω. Another disc of same dimensions, but of mass `1/4`M is placed gently on the first disc co-axially. The. angular velocity of the system is ______.
In uniform circular motion, although the speed is constant, why does acceleration occur?
By applying Kepler's third law to the formula for centripetal force, Newton concluded that the force acting on a planet is:
