Radial & Tangential Acceleration for Non Uniform Circular Motion
The velocity ...
Question
The velocity of a particle moving in a curvilinear path varies with time as →v=2t2^i+t3^jm/s where t is in seconds. At the end of t=1s, the value of tangential acceleration is
A
11√10m/s2
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B
11√5m/s2
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C
√5m/s2
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D
11√5m/s2
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Solution
The correct option is B11√5m/s2 Given →v=2t2^i+t3^j →a=dvdt=4t^i+3t2^j At t=1s : →v=2^i+^j |→v|=√4+1=√5m/s →a=4^i+3^j |→a|=√16+9=√25m/s2=5m/s2 and →a.→v=(4^i+3^j).(2^i+^j) =8+3=11 Tangential acceleration at=acosθ=→a.→v|→v|=11√5m/s2