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Part 1) A longitudinal wave is travelling on a spring. The equation for the displacements of a segment of the spring originally at position x (measured in cm) as a function of r (measured in s) is given by: s(x, 1) = 2.5 sin(0.830x+at+z/2) cm. The wave speed of this wave is = 32900 mm/s. What is the value of ? @))= rad/s What is the observed x-coordinate of the segment of spring whose equilibrium position is x= 30.3 at r=0? x = cm

Part 1) A longitudinal wave is travelling on a spring. The equation for the displacements of a segment of the spring originally at position x (measured in cm) as a function of r (measured in s) is given by: s(x, 1) = 2.5 sin(0.830x+at+z/2) cm. The wave speed of this wave is = 32900 mm/s. What is the value of ? @))= rad/s What is the observed x-coordinate of the segment of spring whose equilibrium position is x= 30.3 at r=0? x = cm

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Part 1) A longitudinal wave is travelling on a spring. The equation for the displacements of a segment of the spring originally at position x (measured in cm) as a function of r (measured in s) is given by: s(x, t) 2.5 sin(0.830x + wor+z/2) cm. The wave speed of this wave is = 32900 mm/s. What is the value of wo? ()= rad/s What is the observed x-coordinate of the segment of spring whose equilibrium position is x= 30.3 at r = 0? x= cm Part 2) A section of pipe with one end buried in the ground has been heard by passers-by to 'sing' as the wind blows over its open end. On one particular day with a temperature of T = 8.4°C, the pipe is heard to 'sing' at its lowest possible frequency. If the average molar mass of air is 28.95 g/mol, the bulk modulus of air is 142 kNm2, and the pipe was heard to 'sing' at standard atmospheric pressure, what was the speed of sound at that time? m/s The pipe has a length between its open end, and where it is filled with soil, or L = 2.7 m. Neglecting end effects, what is the lowest frequency it would be heard to sing at on this occasion? Imin = Hz Part 3) A physics student with perfect pitch is standing on a train platform. They notice that a recently purchased model of train sounds its horn with a pitch of A above middle C (440 Hz), before it starts to move. On the platform next to them, another model of the same train (with the same horn) is passing through the station without stopping. They hear this train's horn as a G-sharp (415 Hz). Assume the speed of sound is 338 m/s. What is the speed of the passing train in km/hr, paying attention to whether it is positive (coming towards them), or negative (travelling away from them)? UW km/h
Transcribed Image Text:Part 1) A longitudinal wave is travelling on a spring. The equation for the displacements of a segment of the spring originally at position x (measured in cm) as a function of r (measured in s) is given by: s(x, t) 2.5 sin(0.830x + wor+z/2) cm. The wave speed of this wave is = 32900 mm/s. What is the value of wo? ()= rad/s What is the observed x-coordinate of the segment of spring whose equilibrium position is x= 30.3 at r = 0? x= cm Part 2) A section of pipe with one end buried in the ground has been heard by passers-by to 'sing' as the wind blows over its open end. On one particular day with a temperature of T = 8.4°C, the pipe is heard to 'sing' at its lowest possible frequency. If the average molar mass of air is 28.95 g/mol, the bulk modulus of air is 142 kNm2, and the pipe was heard to 'sing' at standard atmospheric pressure, what was the speed of sound at that time? m/s The pipe has a length between its open end, and where it is filled with soil, or L = 2.7 m. Neglecting end effects, what is the lowest frequency it would be heard to sing at on this occasion? Imin = Hz Part 3) A physics student with perfect pitch is standing on a train platform. They notice that a recently purchased model of train sounds its horn with a pitch of A above middle C (440 Hz), before it starts to move. On the platform next to them, another model of the same train (with the same horn) is passing through the station without stopping. They hear this train's horn as a G-sharp (415 Hz). Assume the speed of sound is 338 m/s. What is the speed of the passing train in km/hr, paying attention to whether it is positive (coming towards them), or negative (travelling away from them)? UW km/h
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