of an object of mass m,

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Additional Topics In Trigonometry
Section: Chapter Questions
Problem 43CT
Question
The centripetal force of an object of mass m, measured in Newtons N, is given by the
formula F(r)
mv²
where v is the speed of rotation in meters per second, and r is
the distance from the center of rotation in meters.
r
dF
dr
a) Find the rate of change of centripetal force with respect to the distance from the
center of rotation.
=
dF
dr givens
}
b) Find the rate of change of centripetal force for an object with mass 1100 kg,
velocity 16.1 m/s, and 110 m from the center or rotation. Round your answer to four
decimal places.
CHECK ANSWER
Transcribed Image Text:The centripetal force of an object of mass m, measured in Newtons N, is given by the formula F(r) mv² where v is the speed of rotation in meters per second, and r is the distance from the center of rotation in meters. r dF dr a) Find the rate of change of centripetal force with respect to the distance from the center of rotation. = dF dr givens } b) Find the rate of change of centripetal force for an object with mass 1100 kg, velocity 16.1 m/s, and 110 m from the center or rotation. Round your answer to four decimal places. CHECK ANSWER
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