contestada

A runner runs around a circular track. He completes one lap at a time of t = 269 s at a constant speed of v = 4.6 m/s. What is the radius, r in meters, of the track?

Respuesta :

znk

Answer:

[tex]\boxed{\text{197 m}}[/tex]

Step-by-step explanation:

The formula relating distance (d), speed (s), and time (t) is

d = st

1. Calculate the distance

d = 269 s × 4.6 m·s⁻¹ = 1240 m

2.Calculate the track radius

The distance travelled is the circumference of a circle

[tex]\begin{array}{rcl}C & = & 2 \pi r\\1240 & = & 2 \pi r\\\\r & = & \dfrac{1240}{2 \pi }\\\\& = & 197\\\end{array}\\\text{The radius of the track is }\boxed{\textbf{197 m}}[/tex]

Parrain

The radius in meters is 196.9 meters.

The runner ran around the track in 269 seconds at a speed of 4.6 m/s. This will enable us to find the distance around the track which is the circumference of the track.

Distance = Speed × time

= 4.6 × 269

= 1,237.4 meters

The distance here is the circumference which can also be found by the formula:

Circumference = π × diameter

1,237.4 = 22/7 × Diameter

Diameter = 1,237.4 ÷ 22/7

= 393.7 meters

Now that we have the diameter, the radius is:

= Diameter / 2

= 196.9 meters

In conclusion, the radius is 196.3 meters

Find out more at https://brainly.com/question/3092498.

Otras preguntas