Power, Average Power, Instantaneous Power, Physics Assignment Help

Work, Power and Energy - Power, Average Power, Instantaneous Power, Physics

Power: It is described as rate of work done with respect to time. There are two kinds of power:

(i)         Rate of doing work is known power. It is a scalar quantity. If velocity vector creates an angle θ with the force component, then 392_power.png

(ii)        In rotator motion: 1483_power1.png

            Since P=dW/dt 

                  305_power2.pngTherefore area inside power-time graph is same to work done.

Average Power 

In a given interval of time it is described as net work divided by net time.

2482_power3.png

2470_power8.png      

 

Instantaneous Power (P)

The instantaneous power of an agent is described as the limiting value of the average power of an agent in a small time interval, when the time interval tends to zero.

Thus, if DW is work done in a small interval D t, then instantaneous power is shown as

                  817_power4.png                                                                                                    ... (i)

Now,          2213_power5.png      

Again,2434_power6.png, the instantaneous velocity of the particle. Therefore,      1327_power7.png                     ... (ii)

Thus, instantaneous power of an agent is calculated as the dot product of its instantaneous velocity and the force acting on it at that instant.

If  θ is angle between  and , then P = F v cosθ

In caseθ = 0o, P = F v

 

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