NEET Class neet Answered
find average velocity and average speed if the second hand of clock turns to 10 sec
Asked by pramilac968 | 06 Jan, 2023, 09:02: PM
Expert Answer
Average velocity = displacement / time
Let r be the length of seconds hand in the clock.
In 10 seconds , second hand makes angular displacement 60o .
As shown in figure , displacement made by tip of second hand in 10 s is
displacement of tip of second hand = ( r cos60 ) + ( r sin60-r)
displacement of tip of second hand = (r/2) + r [ (√3/2)-1 ]
average velocity of tip of second hand = displacement / time
average velocity of tip of second hand = (r/20) + (r/10) [ (√3/2)-1 ] = r [ 0.05 - 0.013 ]
------------------------------------------------
Average speed = distance travelled / time
Distance travelled by tip of second hand in 10 seconds equals arc length AB as shown in figure
arc length AB = r × (/3 ) =
Average speed = r × (/30 ) = 0.105 r
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