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Which of the following best describes uniform circular motion?
Motion with constant velocity
Motion with changing speed
Motion with constant speed and varying velocity
Motion with constant acceleration
Motion with constant speed and varying velocity
Uniform circular motion refers to the motion of a body moving at a constant speed along a circular path. Although the magnitude of the velocity (speed) remains constant, the direction of motion changes at every point, which results in a changing velocity vector.
Uniform circular motion refers to the motion of a body moving at a constant speed along a circular path. Although the magnitude of the velocity (speed) remains constant, the direction of motion changes at every point, which results in a changing velocity vector.
Think of a tetherball tied to a pole; as it swings around in a circle, it travels at a steady pace, but because it is constantly being pulled toward the pole, its direction of travel is always changing.
VAC: Velocity changes, Acceleration is Centripetal, Constant speed.
v=T2╧АrтАЛ тАФ Speed in circular motion where r is the radius and T is the period
acтАЛ=rv2тАЛ тАФ Centripetal acceleration acting toward the center
In circular motion, the velocity vector is always directed tangentially to the path. Even if the speed v is constant, the continuous change in direction implies an acceleration directed toward the center of the circle, known as centripetal acceleration, which is defined as acтАЛ=rv2тАЛ.
Speed remains constant throughout the motion.
Velocity is a vector quantity, so changing direction means changing velocity.
Acceleration is always perpendicular to the velocity vector.
The net force acting on the body is the centripetal force.
Motion of satellites in a stable orbit around Earth.
Motion of electrons around the nucleus in a Bohr model.
Uniform circular motion is an example of accelerated motion even though the speed is constant.
Option A is incorrect because velocity is a vector and direction changes. Option B is incorrect because uniform implies constant speed. Option D is incorrect because acceleration is centripetal and changes direction constantly, though its magnitude is constant.
C is correct тАФ Uniform circular motion involves constant speed but changing velocity due to the continuous change in the direction of motion.
Always remember that in physics, 'velocity' is a vector. Any change in direction, even at a constant rate, signifies an acceleration.