Question

a car moves in a circle at the constant speed of50m/s and completes one revolution in 40s determine the magnitude of acceleration of the car​

Answer 1

Answer:

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Answer 2

$\: \: \boxed{\boxed{\bf{\mapsto \: \: Question}}}$

a car moves in a circle at the constant speed of 50m/s and completes one revolution in 40s determine the magnitude of acceleration of the car

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$\: \: \boxed{\boxed{\bf{\mapsto \: \: \: Answer}}}$

a car moves in a circle at the constant speed of 50m/s and completes one revolution in 40s. the magnitude of acceleration of the car is 7.85 m/s ²

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★ Formula Used :-

$\begin{gathered}\\\;\boxed{\sf{\pink{acceleration\;=\;\bf{v(speed) \omega}}}}\end{gathered}$

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$\: \: \boxed{\boxed{\bf{\mapsto \: \: \: Solution}}}$

Given,

» Speed of the car = V = 50 m/s

» It complete one revolution in or time taken by the car to complete one revolution = T = 40s

To find ,

» magnitude of acceleration of the car = ?

~ Let's solve it ,

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we know that ,

$\begin{gathered}\\\;{\sf{{acceleration\;=\;\bf{v \omega}}}}\end{gathered}$

$\begin{gathered}\begin{gathered}\begin{gathered}\begin{gathered}\begin{gathered}\begin{gathered}\\\;\large{ \longrightarrow{\sf acceleration \: = v( \dfrac{2\pi}{t}) }}\end{gathered}\end{gathered} \end{gathered}\end{gathered} \end{gathered} \end{gathered}$

$\begin{gathered}\begin{gathered}\begin{gathered}\begin{gathered}\begin{gathered}\begin{gathered}\\\;\large{ \longrightarrow{\sf acceleration \: = 50( \dfrac{2 \times 3.142}{40}) }}\end{gathered}\end{gathered} \end{gathered}\end{gathered} \end{gathered} \end{gathered}$

$\begin{gathered}\begin{gathered}\begin{gathered}\begin{gathered}\begin{gathered}\begin{gathered}\\\;\large{ \longrightarrow{\sf acceleration \: = \dfrac{5}{2} \times 3.142}}\end{gathered}\end{gathered} \end{gathered}\end{gathered} \end{gathered} \end{gathered}$

$\begin{gathered}\begin{gathered}\begin{gathered}\begin{gathered}\begin{gathered}\begin{gathered}\\\;\large{ \longrightarrow{\sf acceleration \: = \bold \blue{7.85 \: m/ {s}^{2}} }}\end{gathered}\end{gathered} \end{gathered}\end{gathered} \end{gathered} \end{gathered}$

$\: \: \boxed{\boxed{\bf{\mapsto \: \: \: hence , acceleration = \underline{7.85 \: m/s^2}}}}$