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calculate the distance and displacement of a car completes 7 revolutions around a circular track of radius 21m |
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Answer» The radius of the CIRCLE= r(i) When it completes half circle:-(Refer to Image 1)DISTANCE= 2circumference=22πrDistance= πrDisplacement= r+r=2r(ii) When it completes 3/4th of the circle:-The distance covered= 43(CIRCUMFERENCE)⇒43(2πr)=23πrThe displacement= AB (Refer to Image 2)By using pythagoras theoremAB2=r2+r2⇒AB2=2r2⇒AB=2rDisplacement= 2rDistance= 23πr |
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