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Updated on 27th September, 2023 , 3 min read
Power refers to the amount of work done in a given time frame and is measured in watt (W) as per the International System of Units (SI). Joules per second (J/s) is also used to express power. In addition, horsepower (hp), which is roughly equal to 745.7 watts, is commonly used to describe the power of vehicles and machinery. Understanding power measurements and unit conversions can help businesses and industries effectively utilize energy resources and optimize their operations.
When a person works at varying rates, their power output will fluctuate accordingly since power is always proportional to work done. This is where the concept of average power becomes important. Understanding power, average power, power units, and power formulas is crucial for anyone looking to understand energy and work in physics. Power is measured in watts (W), which represents the amount of work done per unit time. The formula for calculating power is P = W/t, where P represents power, W represents work done, and t represents time. Average power can be calculated by dividing the total work done by the total time taken to complete the task. Knowing these concepts can help individuals better understand how energy is used and transformed in different systems.
Power is proportional to other quantities; for example, the power required to move a ground vehicle is the product of the traction force on the wheels and the vehicle's velocity. A motor's output power is the product of the torque generated by the motor and the angular velocity of its output shaft. Similarly, the power dissipated in a circuit's electrical element is the product of the current flowing through the element and the voltage across the element.
The standard metric unit for work done is the Joule, while the standard metric unit for time is the second. As a result, the Joule per second (J/s) is the standard metric unit of power, which is abbreviated as W. This unit of measurement is commonly used to describe the rate at which energy is transferred or converted from one form to another. In addition, it can also be used to express the output power of machines and devices, such as engines, motors and generators. Understanding power units is essential in various fields like physics, engineering and other industries that utilize energy sources.
Power is a significant quantity in physics that defines the rate at which work is done on an object. It measures how quickly a job is completed and is expressed as a temporal quantity. The formula for power is P = W/t, where P represents power, W represents work, and t represents time. Understanding power is essential for many applications in physics, including mechanics, electromagnetism, and thermodynamics. By applying the power formula correctly, engineers and scientists can design sophisticated systems that utilize energy efficiently.
Power = Work/Time
Or
P = W/t
Power can be measured in two ways - Instantaneous and Average. Instantaneous power refers to the amount of power available at any given moment. On the other hand, average power is calculated by taking the average of all instantaneous powers over a period of time. This means that the total energy used is divided by the total time taken to use it. Both methods are important in different contexts. Instantaneous power helps to determine whether a device is able to handle sudden surges in demand, while average power provides a more accurate representation of energy usage over time.
Example 1. A 60-watt bulb is turned on 24 hours a day, while another 60-watt bulb is only turned on for 12 hours. Determine the amount of energy used by both bulbs in a single day.
Solution 1. Both bulbs A and B are turned on for the first 12 hours, so
60 + 60 = 120 watts of power
Power x Time = Energy
= 120 x 1
= 1.44 kWh (kilowatt-hour)
For the next 12 hours, only bulb A would be turned on.
60 watts of power
60 x 12 = 0.72 kW h energy
Because one bulb is turned on for only 12 hours in this scenario, the power consumed throughout the day varies, so we must calculate average power.
Total energy consumed / Total time taken = Average Power
As a result, our light bulbs' average power will be,
= (1.44 + 0.72) / 24
= 0.092 kW
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The SI Unit of Power is Joule per second which is commonly referred to as Watt. It is denoted as ’W’.
One Joule is equal to the work done by a force of One newton (N) acting over a distance of one meter (m).
Joule is the unit of work done in the presence of electric current while coulomb is the unit of charge. Hence, joule/coulomb is the unit of potential difference.
A body is said to have one watt of power if it can perform one joule of work in one second of time.
Yes. Newton is an SI Unit as per the International System of Units which is widely used for trade, science and engineering.
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