Question

a cyclist goes once around a circular track of diameter 105 metre in 5 minutes. Calculate the speed (2pie r formula)

Answer 1

hope it helps☺!
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Answer 2

hello,

we know that in a circle Total distance travelled when a body travels once around the circle is equal to the circumference of the circle.
we know that circumference is equal to
$2\pi \: r$
if diameter is given 105 m
the radius will be equal to 105 / 2 which is equal to 52.5 m
since we are calculating we must convert all the units in its standard form here we can see the minutes is not in standard form because the standard form of time in physics is second so 5 minutes is equal to 300 seconds.

now latest post calculate the total distance travelled by the cyclist when he went once around a circular track of diameter 105 M or of radius 52.5 M

distance travel is equal to circumference of the circle.
$2\pi \: r \: \: = 2 \times \frac{22}{7} \times 52.5 = 7.5 \times 2 \times 22$
here we got that the total distance travelled is equal to 44 * 7.5 m which is equal to 330 M

now we have been given time which is equal to 300 seconds and now we found that the distance travelled by the cyclist when he went once around the field is equal to 330 me.
So, speed = distance / time

$speed = \frac{330}{300} = 1.1m \: per \: sec$
So,

The speed of the cyclist is equal to 1.1 metre per second.

Hope this will be helping you ✌️