Question

A particle moves in a circle of radius 10cm. It's linear speed is given by v= 3t, where t is the time in second and v is in ${ms}^{ - 1}$. Compute the centripetal and tangenital acceleration at time t = 2s.
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Answer 1

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$\bf\LARGE\color{aqua}Question$

A particle moves in a circle of radius 10cm. It's linear speed is given by v= 3t, where t is the time in second and v is in ${ms}^{ - 1}$ Compute the centripetal and tangenital acceleration at time t = 2s.

$\bf\LARGE\color{pink}Answer$

Centripetal Acceleration at (t) = ${3.6\: ms}^{ - 1}$

The tangenital acceleration $\frac{dv}{dt} = {3ms}^{ - 2}$

$\bf\LARGE\color{aqua}Solution :$

The linear speed at = 2s

V = 3t

= ${6 \: ms}^{ - 1}$

The Centripetal Acceleration at (t) =2s

$a \: c = \frac{{v}^{2}}{10} = \frac{{6}^{2}}{10}$

= ${3.6\: ms}^{ - 1}$

The tangenital acceleration is at

$\frac{dv}{dt} = {3ms}^{ - 2}$

Hope it helps uh!

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