Find th dimensions of-:
a) linear momentum
b) torque
c) angular speed
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a) dimensions of linear momentum = ( m × v)= M L T^-1 .
b) Torque has dimension force times distance, symbolically L2MT−2. Official SI literature suggests using the unit newton metre (N⋅m) or the unit joule per radian. The unit newton metre is properly denoted N⋅m or N m.
c) It's come from rad/s, rad is dimensionless, the rest dimension only dimension of time, . But I think, either angular velocity or translational velocity always have dimensional formula L T − 1 , because, both of them are velocity. The magnitude of velocity is distance per unit time.
b) Torque has dimension force times distance, symbolically L2MT−2. Official SI literature suggests using the unit newton metre (N⋅m) or the unit joule per radian. The unit newton metre is properly denoted N⋅m or N m.
c) It's come from rad/s, rad is dimensionless, the rest dimension only dimension of time, . But I think, either angular velocity or translational velocity always have dimensional formula L T − 1 , because, both of them are velocity. The magnitude of velocity is distance per unit time.
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hope you got it.... if any doubt u can ask in comment.........
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Jas41:
Thanks a lot for a simple explanation.Really,a nice way too!
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