Question

Ram goes for a morning walk in a circular park Daily . He completes one revolution of the park in 4 minutes . find his speed if the diameter of park is 420 m​

Answer 1

Answer:

diameter of park = 42m

circumference = 22/7 * 420

= 1320 m

Hence, speed = d/t

= 1320/4 = 330 m/min

Explanation:

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Answer 2

$\large\underline{ \underline{ \sf \maltese{ \: Question:- }}}$

• Ram goes for a morning walk in a circular park Daily . He completes one revolution of the park in 4 minutes . find his speed if the diameter of park is 420 m

$\large\underline{ \underline{ \sf \maltese{ \: Given:- }}}$

• Time ( t ) = $\sf\green{ 4\: minutes}$

$\qquad {:} \longrightarrow \sf{\sf{4 \: \times \: 60second }}$

$\bf \therefore \; Time \; = 240 \; Second$

• Radius ( r ) = $\sf\green{ 210m }$

• Final Velocity ( v ) = $\sf\green{ ? }$

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$\large\underline{ \underline{ \sf \maltese{ \: Solution:- }}}$

$\red{\boxed{ \sf \blue{Total \: distance\: covered \: in \: one \: Revolution:- }}}$

$\begin{gathered}\begin{gathered}\begin{gathered}: \implies \underline\blue{ \boxed{\displaystyle \sf \bold\orange{\: Distance \: = \: 2\pi \: r }} }\\ \\\end{gathered}\end{gathered}\end{gathered}$

$\qquad \quad {:} \longrightarrow \sf{\sf{D \: = \: 2 \: \times \: \frac{22}{7} \: \times \: 210 }}$

$\bf \therefore \; Distance \; covered \;in \; 1 \; Revolution = 1320m$

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$\begin{gathered}\begin{gathered}\begin{gathered}: \implies \underline\blue{ \boxed{\displaystyle \sf \bold\orange{\: Speed \: = \: \frac{Distance}{Time } }} }\\ \\\end{gathered}\end{gathered}\end{gathered}$

$\qquad \quad {:} \longrightarrow \sf{\sf{ \frac{1320}{240} \: }}$

$\qquad \quad {:}\longrightarrow\sf{\sf\cancel{ \frac{1320}{240} }}$

$\qquad\quad {:} \longrightarrow \underline \red{\boxed{\sf{ Speed \: = \: {5.5}m \: s^{ - 1} }}}$

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$\begin{gathered}\begin{gathered}\qquad \therefore\: \sf{ Speed \: = \underline {\underline{ {5.5}m \: s^{ - 1}}}}\\\end{gathered}\end{gathered}$

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More to know:-

• Speed is defined as the rate of change of distance
• It is a Scalar Quantity.
• Speed never decreases with time .
• Speed is measured in $\: m \: s^{ - 1}$

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