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GalinKa [24]
3 years ago
7

An astronaut is being tested in a centrifuge. The centrifuge has a radius R and, in starting, rotates according to θ = tn, where

t is in seconds, θ is in radians, and n is a positive integer. Find expressions for the the magnitudes of the astronaut's (a) angular velocity, (b) linear velocity, (c) tangential acceleration, and (d) radial acceleration at a general time t, in terms of the variables given.
Physics
1 answer:
Igoryamba3 years ago
4 0

Answer:

a) ω=n

b) V = R*n

c) a = 0

d) ar = R*n^2

Explanation:

Angular velocity is given by the derivative of θ:

ω = n

Linear Velocity will be:

V = ω*R = n*R

Tangential acceleration will be the derivative of the linear velocity. Since velovity is constant:

a = 0

Radial acceleration is given by:

ar = V^2/R = (R*n)^2/R=R*n^2

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The question is based on the principle of motion in one dimension and hence formulas of motion in one dimension can be applied.

It is given that donkey attains an acceleration of 1.6 m/s^2

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For further reference:

brainly.com/question/24478168?referrer=searchResults

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