Answered: centrifuge that has a radius of 10 m.…

centrifuge that has a radius of 10 m. The astronaut is experiencing 10g, meaning that the centripetal acceleration is ac=98ms

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter3: Motion In Two Dimensions

Section: Chapter Questions

Problem 30P: A point on a rotating turntable 20.0 cm from the center accelerates from rest to a final speed of...

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Concept explainers

Centripetal Force

A particle, body, object or certain mass while travelling in a rotational path or semicircular path, experiences an inertia force. If that inertia force pulls the towards the inward of the imaginary circle in the rotation, it is termed as centripetal force.

Question

An astronaut is inside a centrifuge that has a radius of 10 m. The astronaut is experiencing 10g, meaning that the centripetal acceleration is ac=98ms2ac=98ms2. The tangential velocity of the astronaut is

Expert Solution

Step 1

Given:

The Radius of the centrifuge (r) = 10 m.

The mass experienced by the astronaut (m) = 10 g = $10 \times 10^{- 3} k g$

The centripetal acceleration (ac) = $98 m s^{2}$

Step 2

On calculating the tangential velocity by using the formula as follows,

$ν_{t} = ω r$

Where,

$v_{t}$ = The Tangential velocity

$ω$ = The angular velocity

r = The radius of the centrifuge.

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