In an engine, a piston oscillates with simple harmonic motion so that its position varies according to the expression, x = 5.00 cos (4t+ (4t + 1/7) where x is in centimeters and t is in seconds. (a) At t = 0, find the position of the piston. cm (b) At t = 0, find velocity of the piston. cm/s (c) At t = 0, find acceleration of the piston. cm/s² (d) Find the period and amplitude of the motion. period amplitude S cm

Physics for Scientists and Engineers: Foundations and Connections
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Author:Katz, Debora M.
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In an engine, a piston oscillates with simple harmonic motion so that its position varies according to the expression,
x = 5.00 cos (4t+
(4t + 1/7)
where x is in centimeters and t is in seconds.
(a) At t = 0, find the position of the piston.
cm
(b) At t = 0, find velocity of the piston.
cm/s
(c) At t = 0, find acceleration of the piston.
cm/s²
(d) Find the period and amplitude of the motion.
period
amplitude
S
cm
Transcribed Image Text:In an engine, a piston oscillates with simple harmonic motion so that its position varies according to the expression, x = 5.00 cos (4t+ (4t + 1/7) where x is in centimeters and t is in seconds. (a) At t = 0, find the position of the piston. cm (b) At t = 0, find velocity of the piston. cm/s (c) At t = 0, find acceleration of the piston. cm/s² (d) Find the period and amplitude of the motion. period amplitude S cm
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