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?
(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)] = ...
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.
Physics - Classical Mechanics - Rotational Motion
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?