Advertisements
Advertisements
Question
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.
Options
True
False
Advertisements
Solution
This statement is True.
Explanation:
In uniform circular motion (UCM), the direction of the acceleration vector points towards the centre of the circle. However, it constantly changes with time. The average of these vectors over one cycle is a null vector.
APPEARS IN
RELATED QUESTIONS
A particle starts from the origin at t = 0 s with a velocity of 10.0 `hatj "m/s"` and moves in the x-y plane with a constant acceleration of `(8.0 hati + 2.0 hatj) ms^(-2)`.
- At what time is the x-coordinate of the particle 16 m? What is the y-coordinate of the particle at that time?
- What is the speed of the particle at the time?
Why is the motion of a body moving with a constant speed around a circular path said to be accelerated?
Differentiate between uniform linear motion and uniform circular motion.
A uniform metre rule of mass 100g is balanced on a fulcrum at mark 40cm by suspending an unknown mass m at the mark 20cm.
To which side the rule will tilt if the mass m is moved to the mark 10cm ?
Define Uniform circular motion.
Which of the following graph represents uniform motion of a moving particle?
The ratio of angular speed of a hour-hand to the second-hand of a watch is ____________.
The ratio of the angular speed of minute hand and hour hand of a watch 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 ____________.
A particle is perfonning uniform circular motion. If 'θ', 'ω', 'α' and ' a' are its angular displacement, angular velocity, angular acceleration, and centripetal acceleration respectively, then which of the following is 'WRONG'?
It is possible to have objects moving with uniform velocity but non-uniform acceleration.
A flywheel at rest is to reach an angular velocity of 24 rad/s in 8 second with constant angular acceleration. The total angle turned through during this interval is ______.
The distance of the Sun from earth is 1.5 × 1011 m and its angular diameter is (2000) s when observed from the earth. The diameter of the Sun will be ______.
Angular speed of hour hand of a clock in degree per second is ______.
A wheel is Subjected to uniform angular acceleration about its axis. Initially. its angular velocity is zero. In the first 2 s, it rotates through an angle θ1, in the next 2 s, it rotates through an angle θ2. The ratio of `theta_2/theta_1` is ______.
Explain the meaning of uniform circular motion.
Why is uniform circular motion said to be accelerated?
In uniform circular motion, although the speed is constant, why does acceleration occur?
