The power doesn’t remain constant, but how? The power is the time taken by you to complete any task or activity. It is a scalar quantity.įor instance, a large amount of work is done and a large amount of fuel is consumed in a short period of time when a powerful car is accelerated rapidly. Its International System of Unit is Watt which is equal to one joule per second. It is defined as the amount of energy that is converted per unit of time. The rate at which work is done is referred to as power. Suppose, A finishes his task in 50 s and B in 100 s.Īs you can see the relationship of Work done per unit time is nothing but the Power. W = mgh = 10 x 10 x 5 = 500 J is the work done by you both.
Since the work done by both is in the form of potential energy mgh is given by, Let’s say there are 10 boxes of 10 kg each to be picked up by both A and B. On This Page, we will Learn About the Following :Įxample1: Suppose, person A and B are assigned the task of picking up an equal number of boxes to the top floor of the building. It is the amount of energy transferred or converted per unit time where large power means a large amount of work or energy.įor example, when a powerful car accelerates speedily, it does a large amount of work which means it exhausts large amounts of fuel in a short time. Power is the rate of doing an activity or work in the minimum possible time. Figure summarizes the rotational dynamics equations with their linear analogs.You might’ve observed that wrestlers pick up the heavy mass in very little time because they have the power to perform such an activity. Figure summarizes the rotational and translational kinematic equations. Figure summarizes the rotational variables for circular motion about a fixed axis with their linear analogs and the connecting equation, except for the centripetal acceleration, which stands by itself. The rotational quantities and their linear analog are summarized in three tables. Rotational and Translational Relationships Summarized We begin this section with a treatment of the work-energy theorem for rotation. The discussion of work and power makes our treatment of rotational motion almost complete, with the exception of rolling motion and angular momentum, which are discussed in Angular Momentum. In this final section, we define work and power within the context of rotation about a fixed axis, which has applications to both physics and engineering. Thus far in the chapter, we have extensively addressed kinematics and dynamics for rotating rigid bodies around a fixed axis. Summarize the rotational variables and equations and relate them to their translational counterparts.Find the power delivered to a rotating rigid body given the applied torque and angular velocity.Solve for the angular velocity of a rotating rigid body using the work-energy theorem.Use the work-energy theorem to analyze rotation to find the work done on a system when it is rotated about a fixed axis for a finite angular displacement.By the end of this section, you will be able to:
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