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Power is the rate of doing work (or transferring energy), or the ratio of work done to the time interval required to do the work. You can also calculate power using the product of the prime mover and a rate. The equations for calculating power in mechanical, fluid, and electrical systems are listed in the table below. Power = Energy System Prime Mover work done time interval Work Done Power Mechanical Linear Force (F) W = FΔ d Pwr = Rotational Torque (τ) W=τθ Pwr = Fluid Electrical Pressure (P) or Pressure Difference (Δ P) Potential Difference (ΔV) Constant pressure: W = PΔV Steady state, constant density: W = –VΔ P W = qΔV Pwr = Pwr = Pwr = FΔ d Δt τθ Δt = Fv = τω PΔV Δt VΔ P Δt q ΔV Δt • = PV • = VΔ P = IΔV (Note: In fluid systems, ΔV is the change in volume. In electrical systems, ΔV is the potential difference or voltage.) • In thermal systems, power is the same as heat flow rate, Q . Although we did not use the term power, you studied heat flow rate in Section 3.4. C HAPTER 6 SUMMARY 323