A car drives around a horizontal, circular track at constant speed. Consider the following three forces that act on the car: (1)
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Answer:
The answer is below
Explanation:
Given that:
y = transverse displacement = 4.2 cm = 0.042 m at x = 0 and t = 0.
Speed = v = 89 m/s, maximum transverse speed of the string particle = = 16 m/s.
ω = /
= 16 / 0.42 = 380.95 rad/s
a) Frequency = ω/2π = 380.95 / 2π = 60.63 Hz
b) Wavelength (λ) = speed / frequency
λ = v / f = 89/63.66= 1.468 m
c) Using the wave equation:
d) Wave number k is given by:
k = 2π / λ = 2π / 1.468 = 4.28 rad/s
e) The angular velocity is given by:
ω = /
= 16 / 0.42 = 380.95 rad/s
f) Using the wave equation:
g) Since the wave is in the positive x direction, hence ω is negative