Question

Question #441d9

Answer 1

`"Frequency = 0.64 Hz"`

`"Period = 1.57 seconds"`

`"Speed of wave = 1.33 m/s"`

Explanation:

Given equation: `y = 5sin(3x - 4t)`

General wave equation: `y = Asin(kx - ωt)`

Compare above two equations

We get

• `A = "5 mm"`
• `k = "3 rad/m"`
• `ω = "4 rad/s"`

(a) Frequency`= ω/(2 π) = "4 rad/s"/(2 × 3.14) = "0.64 Hz"`

(b) Period`= 1/"Frequency" = 1/"0.64 Hz" = "1.57 seconds"`

(c) Speed of wave`= ω/k = "4 rad/s"/("3 rad/m") = "1.33 m/s"`