Problems: Show your work (diagrams, equations, mathematical manipulations, numer

Question

Problems: Show your work (diagrams, equations, mathematical manipulations, numerical substitutions, etc.) for all problems to receive credit (no work = no credit). Place a box around your final answer. Include units with all numerical answers and record answers with the appropriate number of significant figures. All units must be in standard SI units. Include friction and/or air resistance only where indicated. 16) A microwave oven has a rotating plate 30.0 cm in diameter for even cooking. The plate accelerates from rest at a uniform rate of 0.87 rad/s2 for 0.50 s before reaching its constant operational speed. a. (5 points) How many revolutions does the plate make before reaching its operational speed? b. (5 points) What is the operational angular speed of the plate? 17) (10 points) A turntable as a radius of 0.80 m and a moment of inertia of 2.0 kg-m2. The turntable is rotating with an angular velocity of 1.5 rad/s about a vertical axis though its center on frictionless bearings, A very small 0 40

Explanation / Answer

16) given diameter, d = 30 cm = 0.3 m

alpha = 0.87 rad/s/s

t = 0.5 s

a. number of revolutions = n

then

n*2*pi = 0.5*alpha*t^2

n = 0.0173081 rotations

b. operational angular speed = w

w = alpha*t = 0.435 rad/s

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