Question

A 5-m long wire with a mass of 80 g is under tension. A transverse wave for which the frequency is 800 Hz, the wavelength is 0.6 m, and the amplitude is 4.4 mm is propagating on the wire. The maximum transverse acceleration of a point on a wire is closest to

Answer 1

Explanation:

Mass of the wire m = 80g = 0.08 Kg

Length of the wire l = 5 m

Linear density of wire μ = m/l = 0.08/5 = 0.016 Kg/m

Frequency n = 800 Hz

Wavelength λ = 0.6 m

Amplitude A = 4.4mm = 0.0044m

Speed of the wave v = nλ = 800*0.6 = 480 m/s

Angular speed ω = 2πn = 2π*800 = 5028.57 rad/s

Maximum transeverse acceleration a = ω^2 A = 111260.67 m/s^2