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Physics - Classical Mechanics

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Circular Motion -

1. (a) Find the proper banking angle for cars moving at 50 mi/h to go around
a curve 1000 ft in radius.
(b) If the curve were not banked, what coefficient of friction would be
required between the tires and the road?

2. A string 0.5 m long is used to whirl a 1 kg stone in a vertical circle a
uniform velocity of 5 m/s. What is the tension in the string
(a) when the stone is at the top of the circle and
(b) when the stone is at the bottom of the circle?

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Solution Preview

(1) (a) Angle of banking = Theta = arctan(v^2 /rg)

50 mi/h = 22.352 m/s, 1000 ft = 304.8 m

Theta = arctan [22.352^2 /(304.8 * 9.8)] = ...

Solution Summary

CLassical mechanics in physics is analyzed. The expert finds the proper banking angle for cars moving at 50mi/h to go around a curve. Complete, Neat and Step-by-step Solutions are provided.

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An astronaut is being tested in a centrifuge. The centrifuge has a radius of 10 m and, in starting, rotates according to theta = (0.30 rad/s?t? where t is in seconds and theta is in radians. When t = 5.0 s, what are the magnitudes of the astronaut's
(a) rotational velocity,
(b) translational velocity,
(c) tangential acceleration,
(d) radial acceleration?

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