Question

When the planet Jupiter is at a distance of 824.7 million kilometers from the Earth, its angular diameter is measured to be 35.72” of arc. Calculate the diameter of Jupiter.

Solution

Given comma space Angular space diameter comma space straight theta space equals space 35.72 " space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals space fraction numerator 35.72 " over denominator 3600 end fraction cross times straight pi over 180 space rad space Distance space of space Jupiter space from space Earth comma space straight d space equals space 824.7 space cross times space 10 to the power of 9 space straight m space So comma space diameter space of space Jupiter comma space straight D space equals space straight theta space cross times straight d space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals space 1.73 space cross times space 10 to the power of negative 4 end exponent space cross times space 824.7 space cross times 10 to the power of 9 space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals space 1.43 space cross times 10 to the power of 8 space straight m

Some More Questions From Units and Measurement Chapter

Can we use same units for different physical quantities?

Can we use different units to measure same physical quantity?

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Units And Measurement

When the planet Jupiter is at a distance of 824.7 million kilometers from the Earth, its angular diameter is measured to be 35.72” of arc. Calculate the diameter of Jupiter.

Some More Questions From Units and Measurement Chapter

Can we use same units for different physical quantities?

Can we use different units to measure same physical quantity?

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?

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