A string oscillates according to the equation D(x, t) = (0.50 cm) sin GCT cm-¹)x] cos[(40ns-¹)t] transverse speed, u = what is the (a) amplitude and (b) speed of the two waves (identical except for direction of travel) whose superposition gives this oscillation? (c) What is the distance between nodes? (d) What is the transverse speed of a particle of the string at the position x = 1.5 cm when t = ² s? (Hint: 8 ƏD (x,t) Ət

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A string oscillates according to the equation
D(x, t) = (0.50 cm) sin
GCT
cm-¹)x] cos[(40n s-¹)t]
transverse speed, u =
what is the (a) amplitude and (b) speed of the two waves (identical except for direction of travel)
whose superposition gives this oscillation? (c) What is the distance between nodes? (d) What is
the transverse speed of a particle of the string at the position x = 1.5 cm when t = ² s? (Hint:
8
ƏD (x,t)
Ət
Transcribed Image Text:A string oscillates according to the equation D(x, t) = (0.50 cm) sin GCT cm-¹)x] cos[(40n s-¹)t] transverse speed, u = what is the (a) amplitude and (b) speed of the two waves (identical except for direction of travel) whose superposition gives this oscillation? (c) What is the distance between nodes? (d) What is the transverse speed of a particle of the string at the position x = 1.5 cm when t = ² s? (Hint: 8 ƏD (x,t) Ət
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Step 1

Given a equation of string oscillator

D(x,t)=(0.50cm)sin[(π/3)x]cos(40πt)

 

 

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