WorksheetsMechanical Wave
Total questions: 12
Worksheet time: 6mins
A transverse wave produced in a string is described by the expression,
𝑦 = 0.002 sin(30.0𝑥 − 2𝜋𝑓𝑡)
where 𝑦 and 𝑥 are in meter and 𝑡 in second. If the wave travels at a speed of 30.0 𝑚 𝑠−1, calculate its frequency.
𝒇 = 𝟏𝟒𝟑. 𝟐 𝑯𝒛
𝒇 = 𝟏𝟒𝟑. 𝟐 𝑯𝒛
𝒇 = 𝟏𝟒𝟑. 𝟐 𝑯𝒛
𝒇 = 𝟏𝟒𝟑. 𝟐 𝑯𝒛
A wave traveling along a string is represented by the equation,
𝑦 = 0.003 sin(25.0𝑥 − 4𝜋𝑓𝑡)
where 𝑦 and 𝑥 are in meters and 𝑡 in seconds. If the wave speed is 25.0 𝑚 𝑠−1, determine its frequency.
𝒇 = 𝟏𝟐. 𝟓 𝑯𝒛
𝒇 = 𝟏𝟐. 𝟓 𝑯𝒛
𝒇 = 𝟏𝟐. 𝟓 𝑯𝒛
𝒇 = 𝟏𝟐. 𝟓 𝑯𝒛
The displacement of a wave in a medium is given by the formula,
𝑦 = 0.004 sin(40.0𝑥 − 3𝜋𝑓𝑡)
where 𝑦 and 𝑥 are in meters and 𝑡 in seconds. If the wave travels at a speed of 40.0 𝑚 𝑠−1, find its frequency.
𝒇 = 𝟐𝟎. 𝟎 𝑯𝒛
𝒇 = 𝟐𝟎. 𝟎 𝑯𝒛
𝒇 = 𝟐𝟎. 𝟎 𝑯𝒛
𝒇 = 𝟐𝟎. 𝟎 𝑯𝒛
A wave described by the equation,
𝑦 = 0.005 sin(50.0𝑥 − 5𝜋𝑓𝑡)
is traveling through a medium. If the speed of the wave is 50.0 𝑚 𝑠−1, calculate its frequency.
𝒇 = 𝟐𝟓. 𝟎 𝑯𝒛
𝒇 = 𝟐𝟓. 𝟎 𝑯𝒛
𝒇 = 𝟐𝟓. 𝟎 𝑯𝒛
𝒇 = 𝟐𝟓. 𝟎 𝑯𝒛
The velocity of a stationary wave on a string is 300 𝑚 𝑠−1. If the frequency of the wave is 100 𝐻𝑧, what is the distance between two successive nodes?
6.5 m
11.5 m
11.5 m
1.5 m
A wave traveling through a medium is described by the equation,
𝑦 = 0.006 sin(60.0𝑥 − 6𝜋𝑓𝑡)
If the speed of the wave is 60.0 𝑚 𝑠−1, calculate its frequency.
𝒇 = 𝟔. 𝟎 𝑯𝒛
𝒇 = 𝟔. 𝟎 𝑯𝒛
𝒇 = 𝟔. 𝟎 𝑯𝒛
𝒇 = 𝟔. 𝟎 𝑯𝒛
A longitudinal wave in a medium is represented by the equation,
𝑦 = 0.005 sin(20.0𝑥 − 3𝜋𝑓𝑡)
where 𝑦 and 𝑥 are in meters and 𝑡 in seconds. If the wave travels at a speed of 20.0 𝑚 𝑠−1, determine its frequency.
𝒇 = 𝟏𝟐. 𝟓 𝑯𝒛
𝒇 = 𝟏𝟐. 𝟓 𝑯𝒛
𝒇 = 𝟏𝟐. 𝟓 𝑯𝒛
𝒇 = 𝟏𝟐. 𝟓 𝑯𝒛
The speed of a wave on a string is 150 𝑚 𝑠−1. If the frequency of the wave is 75 𝐻𝑧, what is the wavelength of the wave?
2.0 m
1.0 m
1.5 m
3.0 m
A sinusoidal wave is described by the equation
𝑦 = 25 sin(100𝜋𝑡 − 3.0𝑥)
Where 𝑦 indicates the displacement in 𝑐𝑚, 𝑡 is the time in seconds, and 𝑥 is the distance in meters. Calculate the velocity of the wave.
83.3 m s-1
75.0 m s-1
100.0 m s-1
50.0 m s-1
A progressive wave is represented by equation
𝑦 = 20 sin(150𝜋𝑡 − 1.8𝑥)
Where 𝑦 is the displacement in 𝑐𝑚, 𝑡 is the time in second and 𝑥 is the distance in meter. Calculate the wave velocity.
261.8 m s-1
211.8 m s-1
241.8 m s-1
161.8 m s-1
A wave traveling in a medium is described by the equation
𝑦 = 15 sin(120𝜋𝑡 − 2.5𝑥)
Where 𝑦 represents the displacement in 𝑐𝑚, 𝑡 is the time in seconds, and 𝑥 is the distance in meters. Determine the speed of the wave.
75.0 m s-1
60.0 m s-1
90.0 m s-1
45.0 m s-1
A wave propagating through a medium can be represented by the equation
𝑦 = 20 sin(100𝜋𝑡 − 3𝑥)
In this equation, 𝑦 denotes the displacement in 𝑐𝑚, 𝑡 is the time in seconds, and 𝑥 is the distance in meters. Calculate the speed of the wave.
60.0 m s-1
80.0 m s-1
100.0 m s-1
40.0 m s-1
