Step 1: Find the amplitude. The total distance from one extreme point to the other is 10 cm . So the amplitude is half of this: 5cm=0.05m. Step 2: Find the angular frequency (( ω) ). The frequency f is 210 Hz . Angular frequency: ω=2πf=2×‌
22
7
×210=44×30=1320rad∕s. Step 3: Find the wave number ( k ). The speed v is 330m∕s. Wave number: k=‌
ω
v
=‌
1320
330
=4rad∕m. Step 4: Write the equation of the wave. The standard equation for a wave traveling along the positive X-axis is s(x,t)=Asin‌(kx−ωt). Here, A=0.05m,k=4rad∕m, and ω=1320rad∕s, so: s(x,t)=0.05sin‌(4x−1320t)
