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To analyze the motion of a body that is traveling along a curved path, to determine the body’s acceleration, velocity, and position. A motor
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To analyze the motion of a body that is traveling along a curved path, to determine the body’s acceleration, velocity, and position. A motorcyclist travels around a curved path that has a radius of 250 ft . While traveling around the curved path, the motorcyclist increases speed by 1.05 ft/s2 . Part A – Finding the time interval for the motorcyclist to reach a given acceleration If the motorcyclist starts from rest, determine the time needed to reach an acceleration of 4.25ft/s2. Express your answer to three significant figures and include the appropriate units.
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Physics
4 years
2021-08-25T10:29:07+00:00
2021-08-25T10:29:07+00:00 1 Answers
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Answer:
a^2 = ar^2 + al^2 where ar is the radial acceleration and al is the
linear acceleration – since vectors ar and al are at right angles
ar^2 = a^2 – al^2 = 4.25^2 – 1.05^2
ar = 4.12 ft/s^2
ar = V^2 / R where ar is the radial acceleration
So V^2 = ar * R = 4.12 * 250 = 1030 ft^2/s^2
V = 32.1 m/s the linear speed of the cycle
Also, V = al t or t = V / al = 32.1 / 1.05 = 30.6 sec