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.

a) ω=n

b) V = R*n

c) a = 0

d)

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:

the working equation for the angular size is the product of the physical size and 360 degrees divided by the product of two pi and distance from earth. the minimum size would be 0.559 degrees while the maximum size would be 0.49 degrees. 

i believe the answer would be:

d. violin, clarinet, french horn, and tuba