Curvilinear Motion: Normal and Tangential Components

Learning Goal:

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 300 ft . While traveling around the curved path, the motorcyclist increases speed by 1.05 ft/s2

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 4.75ft/s2.

Express your answer to three significant figures and include the appropriate units.

t=

35.5 s

Speed of the Motorcyclist at a Given Acceleration

Determine the speed of the motorcyclist at the instant the acceleration is 6.25 ft/s2.

Express your answer to three significant figures and include the appropriate units.

v=

43.0 fts

Magnitude of the Motorcyclist’s Acceleration at a Given Speed

Determine the magnitude of the acceleration at the instant the speed of the motorcyclist is 18.5 ft/s.

Express your answer to three significant figures and include the appropriate units.

a=

1.55 fts2

Maximum Constant Speed of the Motorcyclist

Determine the maximum constant speed of the motorcyclist when the maximum acceleration is 6.25 ft/s2.

Express your answer to three significant figures and include the appropriate units.

vmax=

43.3 fts