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Units And Measurement

Question
CBSEENPH11017738
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A solid cylinder rolls down the inclined plane from a height 0.6m. Find the speed of cylinder at the bottom.

Solution

Let,
m be the mass of the cylinder,
r be the radius of the cylinder,
v be the speed, and
ω be the angular velocity of cylinder at the bottom.
Therefore using the principle of conservation of energy,
 mgh space equals space 1 half space mv squared space plus space 1 half space Iω squared space space space space space space space space space space space equals space 1 half space mv squared space plus space 1 half open parentheses 1 half straight m space straight r squared space close parentheses space straight omega squared space space space space space space space space space space equals space space 1 half space mv squared space plus space 1 fourth straight m space straight r squared space space straight omega squared space space space space space space space space equals space 1 half space mv squared space space plus space 1 fourth straight m space straight v squared space space space space space space space space space equals space 3 over 4 space mv squared space rightwards double arrow space straight v space equals square root of 4 over 3 gh end root space We space have space here comma space straight h space equals space 0.6 space Therefore comma space straight v space equals space square root of 8 space equals space 2 square root of 2 space straight m divided by straight s

Some More Questions From Units and Measurement Chapter

To measure a physical quantity X, the unit U is repeatedly used for n times. What is the magnitude of physical quantity?

Does the numerical factor in the quantitative measurement depend on the system of unit used?

Is one unit sufficient to measure a physical quantity?

Can a physical quantity have two or more units? Give example.

What are fundamental quantities?

How many fundamental quantities are there in mechanics?

How many fundamental quantities are there in Physics?

Name the fundamental quantities of mechanics.

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