Solve the problems below (two parts each) A car rounds a circle of radius 190m,

Question

Solve the problems below (two parts each)

A car rounds a circle of radius 190m, going at 14.5m/s.What's the car's acceleration if its speed is constant? Express your answer to two significant figures and include the appropriate units. Compute the new acceleration if the speed is increasing at a rate of 2.4 m/s2. Express your answer to two significant figures and include the appropriate units. Centrifuge. Medical labs often use centrifuges to separate the different components of blood or tissue. In a centrifuge, materials are whirled rapidly so they experience a large centripetal force. Find the acceleration of a blood sample 0.11m from the center of a centrifuge rotating at 250rev/m Express your answer to two significant figures and include the appropriate units. What is the force acting on a 0.10-g particle at that radius? Express your answer to two significant figures and include the appropriate units.

Explanation / Answer

A. a_c =v^2/r = 14.5^2 / 190 = 1.11 m/s2

B. a = sqrt (1.11^2 + 2.4^2)   = 2.64 m/s2

A. w = 250 rev/min = 250 x 2 x pi / 60 = 26.18 rad/s
r = 0.11 m
a    = w^2.r   = 75.39 m/s2

B. F = ma = 0.10 x 10-3 75.39 = 0.00754 N

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