![]() the magnitude of the velocity) is constant, no work is being done and the energy remains constant. ![]() In uniform circular motion, only the direction of the velocity is changing, because the force is at right angles to the movement. The kinetic energy depends only on the magnitude of the velocity and not on its direction. As the work done on an object in uniform circular motion is 0, there is no change in kinetic energy for the object in uniform circular motion. Objects move in a straight tine at a constant speed unless a force acts on them. Work is also defined as the change in kinetic energy. Therefore, we conclude that no work is being done on an object in uniform circular motion. If we apply this to our equation for work: ![]() This gives us the situation where the angle,, between the force and the direction of motion is 90°. Even though the object is constantly changing direction, the motion at any instant is always tangential to the circle. One of the features of circular motion, is that the centripetal force is always directed into the centre of the circle that is the path for the object. This now results in the equation for work becoming: As force and displacement are vectors, we correctly say that it is only the component of the force in the direction of motion that contributes to the work being done. In the Figure, the velocity vector v of the particle is constant in magnitude, but it changes in direction by an amount v while the particle moves from position B to position C, and the radius R of the circle sweeps out the angle. Thus, the angular velocity is approximately 8.Work is defined as the force ( ) applied to move an object some displacement ( ). uniform circular motion, motion of a particle moving at a constant speed on a circle. Thus, the linear velocity is approximately 70.34 centimeters per second. ![]() If the radius of the circle shown in Figure 3 is 8 centimeters, find the linear and angular velocities of point P. The angular velocity (ω) of a point traveling at a constant speed along an arc of a circle is given as:Īngular and linear velocity are both positive if the movement is counterclockwise and negative if the movement is clockwise.Įxample 4: Point P revolves counterclockwise around a point 0 making 7 complete revolutions in 5 seconds. Thus, the linear velocity of the object is 1,060 miles per hour. Lets learn about the meaning of motion, circular motion, the. If is the measure of a central angle of a circle, measured in radians, then the length of the intercepted arc (s) can be found by. The linear velocity (v) of a point traveling at a constant speed along an arc of a circle is given as:Įxample 3: If the earth has a radius of 4,050 miles and rotates one complete revolution (2π radians) each 24 hours, what is the linear velocity of an object located on the equator? Circular motion is a motion in which a body travels a definite distance along a circular path. When an object moves around in circular motion, there are many distinguishing factors to. The body has a fixed central position and so remains at an equal distance from it at any known point. ![]() Thus, the length of the intercepted arc is −12.25 centimeters. Here, uniform circular motion is a particular kind of circular motion where the motion of the body follows a circular path at a constant/uniform speed. 15K Share Save 1.3M views 6 years ago New Physics Video Playlist This physics video tutorial explains the concept of centripetal force and acceleration in uniform circular motion. (In this problem, the negative value of the angle and the arc length refer to a negative direction.) Thus, the length of the intercepted arc is 15 centimeters.Įxample 2: Using Figure 2 , find the length (s) of the arc intercepted by a central angle of size − 100° if the radius of the circle is 7 centimeters. Remember, α must be measured in radians.Įxample 1: Find the length (s) of the arc intercepted by a central angle of size 3 radians if the radius of the circle is 5 centimeters (see Figure 1). If α is the measure of a central angle of a circle, measured in radians, then the length of the intercepted arc (s) can be found by multiplying the radius of the circle (r) by the size of the central angle (α) s = rα.
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