Question

please answer it it's very urgent​

Answer 1

Answer:

•We're given that, a car is moving in a circular path of radius (R) = 20 m.

•Also given that, Time interval (t) = 5 s.

•We need to find the speed of the car.

Speed can be calculated by the given below formula:

$\longrightarrow\:\:\tt Speed = \dfrac{Distance}{Time}$

Here, the car is moving in circular path. Hence, here distance is equal to the circumference of the circle.

$\longrightarrow\:\:\tt Speed = \dfrac{Circumference \: of \: the \: circle}{Time}$

$\longrightarrow\:\:\tt Speed = \dfrac{2\pi r}{5}$

$\longrightarrow\:\:\tt Speed = \dfrac{2 \times 3.14 \times 20}{5}$

$\longrightarrow\:\:\tt Speed = \dfrac{2 \times 3.14 \times 20}{5}$

$\longrightarrow\:\:\tt Speed = \dfrac{125.6}{5}$

$\longrightarrow\:\: \underline{ \boxed{\bold{ Speed =25.12 \: {ms}^{ - 1} }}}$

Answer 2

Answer:

Question :-

• A car moves in a circular path of radius 20 m in 5 seconds with a uniform speed. Find the speed.

Given :-

• A car moves in a circular path of radius 20 m in 5 seconds with a uniform speed.

To Find :-

• What is the speed.

Formula Used :-

$\clubsuit$ Circumference of Circle Formula :-

$\longmapsto \sf\boxed{\bold{\pink{Circumference_{(Circle)} =\: 2{\pi}r}}}$

where,

• π = 22/7 or 3.14
• r = Radius of Circle

$\clubsuit$ Speed Formula :

$\longmapsto \sf\boxed{\bold{\pink{Speed =\: \dfrac{Distance\: Covered}{Time\: Taken}}}}$

Solution :-

First, we have to find the circumference of a circle :

Given :

• Radius = 20 m

According to the question by using the formula we get,

$\implies \sf Circumference_{(Circle)} =\: 2 \times \dfrac{22}{7} \times 20$

$\implies \sf Circumference_{(Circle)} =\: \dfrac{44}{7} \times 20$

$\implies \sf Circumference_{(Circle)} =\: \dfrac{880}{7}$

$\implies \sf\bold{\purple{Circumference_{(Circle)} =\: 125.7\: m}}$

Hence, the circumference of a circle is 125.7 m .

Now, we have to find the speed of a car :

Given :

• Distance = 125.7 m
• Time = 5 seconds

According to the question by using the formula we get,

$\longrightarrow \sf Speed\: of\: Car =\: \dfrac{125.7}{5}$

$\longrightarrow \sf Speed\: of\: Car =\: \dfrac{\dfrac{1257}{10}}{5}$

$\longrightarrow \sf Speed\: of\: Car =\: \dfrac{1257}{10} \times \dfrac{1}{5}$

$\longrightarrow \sf Speed\: of\: Car =\: \dfrac{1257}{50}$

$\longrightarrow \sf\bold{\red{Speed\: of\: Car =\: 25.14\: m/s}}$

$\therefore$ The speed of car is 25.14 m/s.