Uniform Circular Motion| Daily Life Examples

Daily Life Examples

• When a car takes a turn, the tires experience uniform circular motion as they follow the curved path.
• Swinging a ball on a string in a circular motion creates uniform circular motion as the ball revolves around the hand.
• The drum of a washing machine rotates in a circular motion during the wash cycle, providing uniform washing.
• The turntable of a record player rotates in a circular motion, allowing the stylus to track the grooves on a vinyl record.
• The horses or seats on a carousel move in a circular path at a constant speed, providing riders with a uniform circular motion experience.
• Artificial satellites in orbit around the Earth move in a uniform circular motion, maintained by the gravitational force.
• A merry-go-round at a playground exhibits uniform circular motion as it spins around its center axis.
• The blades of a ceiling fan move in a circular path when the fan is turned on, providing a cooling effect.
• A cyclist riding in a circular path maintains uniform circular motion as they navigate around a circular track or path.
• Athletes running on a circular track experience uniform circular motion as they move along the curved path.

Equations of motion of an object undergoing uniform circular motion

These equations help describe the motion of an object undergoing uniform circular motion are given below:

1. Linear Velocity (v): v=2πrT
   where:
   • v is the linear velocity,
   • r is the radius of the circle,
   • T is the period of one complete revolution.
2. Angular Velocity (ω): ω=2πT
   where:
   • ω is the angular velocity,
   • T is the period of one complete revolution.
3. Centripetal Acceleration (acac​): ac=v²/r
   where:
   • ac is the centripetal acceleration,
   • v is the linear velocity,
   • r is the radius of the circle.
4. Centripetal Force (F_c): F_c=m⋅a_c
   ​ where:
   • F_c is the centripetal force,
   • m is the mass of the object,
   • a_c is the centripetal acceleration.

Crux Points-Uniform Circular Motion

• Uniform circular motion involves an object moving in a circle at a constant speed.
• The object constantly changes direction, moving tangent to the circle.
• The velocity vector is directed tangent to the circle, reflecting the object's motion.
• Despite a constant speed, the object undergoes acceleration due to its change in direction.
• The acceleration is directed inward, towards the center of the circle.
• The net force acting on the object is an inward or centripetal force.
• This centripetal force is essential for the object to deviate from a straight line and undergo circular motion.