Welcome to Westonci.ca, your one-stop destination for finding answers to all your questions. Join our expert community now! Explore our Q&A platform to find in-depth answers from a wide range of experts in different fields. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.
Sagot :
Some important and basic points:
Unit of time is second (s).
Unit of mass is kilogram (kg).
Unit of distance/displacement is meter (m).
P.S. Displacement and distance are nearly same things, their unit is same.
Speed/velocity = distance/time
So, its unit is m/s.
Acceleration = (final velocity-initial velocity)/time.
So, its unit is m/s² or m.s^-2
We know from the formula that,
Force = mass × acceleration
=> F = ma
Putting units:
Newton = kg.m/s² or kg.m.s^-2 _____(1)
Putting dimensions:
Newton = M.L.T^-2
________________________
We know from the formula that,
Work = force × displacement
=> W = Fs
Putting units:
Joule = Newton.m
=> Joule = kg.m.s^-2.m [from (1)]
=> Joule = kg.m².s^-2 ______(2)
Putting dimensions:
Joule = M.L².T^-2
________________________
We know from the formula that,
Power = work/time
Putting units:
Watt = joule/s
=> Watt = kg.m².s^-2/s [from (2)]
=> Watt = kg.m².s^-3 ______(3)
Putting dimensions:
Watt = M.L².T^-3
________________________
We know from the formula that,
Horsepower = 746 watt
=> Horsepower = 746kg.m².s^-3 [from (3)]
Putting dimensions:
Horsepower = 746M.L².T^-3
Hope it helps!!
The dimension of Watt, Newton and horsepower are ML²T⁻³, MLT⁻² and ML²T⁻³ respectively
Units and dimension
Units are measure of a quantity. Dimensions are derived from the units. Gi
Force = mass × acceleration
For Newton:
Another representation for unit of Newton is kg.m/s². Writing in terms of the dimension
Newton = MLT⁻²
For Watts;
The unit of Watt is also kg.m².s⁻²/s which is equivalent to kg.m².s⁻³
In terms of dimension
Dimension of Watt = ML²T⁻³
For Horse power:
The unit of horse power is kg.m².s⁻³
Dimension of horsepower = ML²T⁻³
Learn more on units and dimension here: https://brainly.com/question/28464
#SPJ2
Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.