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Circular motion.pptx

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Abdul Asif
Abdul Asif

Circular motion describes the movement of an object rotating along a circular path. It can be either uniform, where the angular rate and speed are constant, or non-uniform, where the rate of rotation changes. Common examples include satellites orbiting Earth, ceiling fans, car wheels, and windmill blades. Angular variables like displacement, velocity, and acceleration are used to describe circular motion and are measured in radians and rad/s or rad/s^2. The linear speed of an object in circular motion is related to its angular speed and position via the equation v=r.

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Circular motion
Circular motion Circular motion is described as a movement of an object while rotating along a circular path. Circular motion can be either uniform or non- uniform. During uniform circular motion the angular rate of rotation and speed will be constant while during non-uniform motion the rate of rotation keeps changing.
Some of the most common examples of circular motion include: man-made satellite that revolves around the earth a rotating ceiling fan a moving cars wheel the blades in a windmill
Angular Variables Angular Displacement It is defined as the angle turned by a rotating particle per unit time. It is represented by 慮 and measured in radians. In the figure, angular displacement is measured between the position vectors rand r.
Circular motion.pptx
Angular Velocity It is defined as the rate of change in angular displacement of a particle in a circular motion. It is denoted by = limt0 (慮/t) = d慮/dt Angular velocity is measured in rad/s. Apart from angular velocity and angular speed, a particle in circular motion also possesses linear velocity and corresponding linear speed.
Relation Between Linear Speed(V) And Angular Speed(立) In vector form v= x r Where r is the position vector of the particle measured with respect to the centre of the circle. (Or) v = r
Angular Acceleration It is defined as the rate of change of angular velocity of the rotating particle. It is measured in rad/s2 留 = d/dt = d2慮/dt2 The acceleration of a particle in circular motion has two components : Tangential acceleration at: This is the component of acceleration in the direction of the velocity of the particle. at= d|v|/dt
Radial acceleration ar: This is the component of acceleration directed towards the centre of the circle. This component causes a change in the direction of the velocity of a particle in a circular motion. ar= v2/r = r2
Circular motion can be uniform and non-uniform depending on the nature of acceleration of the particle. The motion is called uniform circular motion when the particle is moving along a circular path possessing a constant speed.
During circular motion, the velocity vector changes its direction at each point on the circle. This implies that the radial component of acceleration is always non-zero. The tangential component can take a positive or negative value in the case of non-uniform circular motion and a zero value in the case of uniform circular motion.
Circular motion.pptx
Circular motion.pptx

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Circular motion.pptx

  • 2. Circular motion Circular motion is described as a movement of an object while rotating along a circular path. Circular motion can be either uniform or non- uniform. During uniform circular motion the angular rate of rotation and speed will be constant while during non-uniform motion the rate of rotation keeps changing.
  • 3. Some of the most common examples of circular motion include: man-made satellite that revolves around the earth a rotating ceiling fan a moving cars wheel the blades in a windmill
  • 4. Angular Variables Angular Displacement It is defined as the angle turned by a rotating particle per unit time. It is represented by 慮 and measured in radians. In the figure, angular displacement is measured between the position vectors rand r.
  • 6. Angular Velocity It is defined as the rate of change in angular displacement of a particle in a circular motion. It is denoted by = limt0 (慮/t) = d慮/dt Angular velocity is measured in rad/s. Apart from angular velocity and angular speed, a particle in circular motion also possesses linear velocity and corresponding linear speed.
  • 7. Relation Between Linear Speed(V) And Angular Speed(立) In vector form v= x r Where r is the position vector of the particle measured with respect to the centre of the circle. (Or) v = r
  • 8. Angular Acceleration It is defined as the rate of change of angular velocity of the rotating particle. It is measured in rad/s2 留 = d/dt = d2慮/dt2 The acceleration of a particle in circular motion has two components : Tangential acceleration at: This is the component of acceleration in the direction of the velocity of the particle. at= d|v|/dt
  • 9. Radial acceleration ar: This is the component of acceleration directed towards the centre of the circle. This component causes a change in the direction of the velocity of a particle in a circular motion. ar= v2/r = r2
  • 10. Circular motion can be uniform and non-uniform depending on the nature of acceleration of the particle. The motion is called uniform circular motion when the particle is moving along a circular path possessing a constant speed.
  • 11. During circular motion, the velocity vector changes its direction at each point on the circle. This implies that the radial component of acceleration is always non-zero. The tangential component can take a positive or negative value in the case of non-uniform circular motion and a zero value in the case of uniform circular motion.