An astronaut is being tested in a centrifuge. the centrifuge has a radius of 12.0 m and, in starting, rotates according to θ = 0.370t2, where t is in seconds and θ is in radians. when t = 5.00 s, what are the magnitudes of the astronaut's
(a) angular velocity,
(b) linear velocity,
(c) tangential acceleration, and
(d) radial acceleration?

part a)

Part b)

v = 44.4 m/s

Part c)

Part d)

Explanation:

As we know that the angle at any instant of time is given as

part a)

as we know that rate of change in angle with time is angular speed

so here we have

at t= 5s we will have

Part b)

as we know the relation between linear speed and angular speed is given as

v = 44.4 m/s

Part c)

now in order to find angular acceleration we know that

now tangential acceleration is given as

Part d)

radial acceleration is given as

a.

explanation:

0.3x0.21x0.08kg=mass 1 sheet

mass 500 = 500xmass 1

volume pile = 0.3x0.2x0.048

density=mass/volume= 500xmass 1/0.3x0.2x0.048

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