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The average radius of Mars is 3,397 km. If Mars completes one rotation in 24.6 hours, what is the tangential speed of objects on the planet’s surface? Round your answer to the nearest whole number.

Respuesta :

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First, we determine the circumference of the Mars by the equation below. 
                                      C = 2πr
Substituting the known values,
                                      C = 2(π)(3,397 km) = 6794π km
To determine the tangential speed, we divide the circumference calculated above by the time it takes for Mars to complete one rotation and that is,
                    tangential speed = 6794π km / 24.6 hours = 867.64 km/h

The tangential speed of an object in the mars will be 867.64 km/h. tangential speed is the linear speed of the rotating object.

What is tangential speed?

It is the linear speed of the rotating object. It can be calculated by the dividing circumference by rotational time.

[tex]v_t =\dfrac Ct[/tex]

Where,

[tex]C[/tex] - circumference = 2πr  =  2(π)(3,397 km) = 6794π km

[tex]t[/tex] - rotational time  = 24.6 hours

Put the values in the formula,

[tex]v_t = \dfrac {6794\pi \rm \ km }{24.6 \rm \ hours} \\\\v_t = 867.64 \rm \ km/h[/tex]

Therefore, the tangential speed of an object in the mars will be 867.64 km/h.

Learn more about tangential speed:

https://brainly.com/question/23043712

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