You have joined a team designing a new skyway that is to link Castlebrooke Secondary School to the Asian Food Centre. The skyway will be attached to the two buildings at either end. To make sure it will be stable in gusts of wind, you need to find the lowest frequency that creates a standing wave in the skyway structure- this is the natural resonant frequency. Your group has decided to make a scale model of the skyway and put it into a wind tunnel to determine the frequency. The length of your scale model is 102.0 cm. Unfortunately, the wind tunnel cannot be pulsed at a very low frequency. While the model is in the wind tunnel you find that a standing wave in the fourth mode/resonance is created in the model when the wind is pulsed at a frequency of 156 Hz.

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You have joined a team designing a new skyway that is to link Castlebrooke Secondary School to the Asian Food Centre. The
skyway will be attached to the two buildings at either end. To make sure it will be stable in gusts of wind, you need to find the
lowest frequency that creates a standing wave in the skyway structure- this is the natural resonant frequency. Your group has
decided to make a scale model of the skyway and put it into a wind tunnel to determine the frequency. The length of your scale
model is 102.0 cm. Unfortunately, the wind tunnel cannot be pulsed at a very low frequency. While the model is in the wind
tunnel you find that a standing wave in the fourth mode/resonance is created in the model when the wind is pulsed at a
frequency of 156 Hz.
Transcribed Image Text:You have joined a team designing a new skyway that is to link Castlebrooke Secondary School to the Asian Food Centre. The skyway will be attached to the two buildings at either end. To make sure it will be stable in gusts of wind, you need to find the lowest frequency that creates a standing wave in the skyway structure- this is the natural resonant frequency. Your group has decided to make a scale model of the skyway and put it into a wind tunnel to determine the frequency. The length of your scale model is 102.0 cm. Unfortunately, the wind tunnel cannot be pulsed at a very low frequency. While the model is in the wind tunnel you find that a standing wave in the fourth mode/resonance is created in the model when the wind is pulsed at a frequency of 156 Hz.
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