Question

URGENT!!!

A transverse harmonic wave on a string is described by

Y(x,t)=2.0 cos(10t-0.0080x+0.35) where x,y are in cm and t in sec.

(i) What is the speed and direction of propagation?

(ii) What are its amplitude and frequency?

Answer 1

Answer:

Correct option is

A

x=4m, Δϕ=6.4π rad

Equation for a travelling harmonic wave is given as:

y(x,t)=2.0cos2π(10t−0.0080x+0.35)

=2.0cos(20πt−0.016πx+0.70π)

Where,

Propagation constant, k=0.0160π

Amplitude, a=2cm

Angular frequency, ω=20πrad/s

Phase difference is given by the relation:

ϕ=kx=2π/λ

(a) For Δx=4m=400cm

Δϕ=0.016π×400=6.4πrad

(b) For Δx=0.5m=50cm

Δϕ=0.016π×50=0.8πrad

(c) For Δx=λ/2

Δϕ=2π/λ×λ/2=πrad

(d) For Δx=3λ/4

Δϕ=2π/λ×3λ/4=1.5πrad

Answer 2

Explanation:

gravity, also called gravitation, in mechanics, the universal force of attraction acting between all matter. ... On Earth all bodies have a weight, or downward force of gravity, proportional to their mass, which Earth's mass exerts on them. Gravity is measured by the acceleration that it gives to freely falling objects.