An ultracentrifuge accelerates from rest to 100,000 rpm in 2.00 min. (a) What is the average angular acceleration in rad/s2

ω = 100000rev/min * 2πrad/rev * 1min/60s = 10 500 rad/s

t = 2 min = 120 s

(a) ω = ωo + at

10500 rad/s = 0rad/s + α*120s

α = 87.3 rad/s²

(b) a_t = αr = 87.3rad/s² * 0.095m = 8.29 m/s²

(c) a_r = ω²r = (10500rad/s)² * 0.095m = 1.04e7 m/s²

which is 1.04e7 / 9.8 = 1.06e6 "g"s

(a little over 1 million "g"s)

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Explanation:

a solenoid is created by wrapping a l = 90 m long wire around a hollow tube of diameter d = 4.5 cm.   the wire diameter is d = 0.9 mm.   the solenoid wire is then connected to a power supply so that a current of i = 9 a flows through the wire.

randomized variablesl = 90 m

d = 4.5 cm

d = 0.9 mm

i = 9 a                                          

write an expression for the number of turns, n, in the solenoid. you do not need to take into account the diameter of the wire in this calculation.

calculate the number of turns, n, in the solenoid.

write an expression for the length of the solenoid (l2) in terms of the diameter of the hollow tube d.

calculate the length of the solenoid (l2)   in meters.

calculate the magnitude of the magnetic field at the center of the solenoid in teslas.

explanation: