Question

A car moves a circular path of radius 20m in 50 sec with a uniform speed find the speed.

Answer 1

Answer:

2.514 m/s

Explanation:

Given :

• Radius of the circular path = R = 20 metres

• Time taken = t = 50 seconds

To find :

• Uniform speed with which the car moves around the circular path

Distance = Circumference of the track = 2×22/7×20

Distance = 880/7

Speed = distance / time

Speed = 880/7/50

Speed = 880/7 × 1/50

Speed = 880/350

Speed = 2.514 m/s

The speed of the car with Radius 20 metres and time taken is 50 seconds is equal to 2.514 m/s

Answer 2

Answer:

Given:

• A car moves a circular path of radius 20m in 50 sec with a uniform speed.

Find:

• Find the speed.

Using formula:

Distance is equal:

★ ${\sf{\underline{\boxed{\orange{\sf{Circumference = 2 \pi r }}}}}}$

Note:

$\longrightarrow\bold{Value \: of \: \pi \: is \: \dfrac{22}{7}}$

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$\longrightarrow\bold{Distance = 2 \times \: \dfrac{22}{7} \times 20}$

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$\longrightarrow\bold{Distance = \dfrac{880}{7}}$

Using speed formula:

★ ${\sf{\underline{\boxed{\orange{\sf{Speed = \dfrac{Distance}{Time} }}}}}}$

Calculations:

$\longrightarrow\bold{\dfrac{880}{\dfrac{7}{50}}}$

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$\longrightarrow\bold{\dfrac{880}{7} \times \dfrac{1}{50}}$

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$\longrightarrow\bold{\dfrac{880}{350}}$

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$\longrightarrow{\sf{\underline{\boxed{\red{\sf{2.514 \: m/s }}}}}}$

Therefore, 2.514 m/s is the speed.