A sinusoidal transverse wave travels along a long, stretched string. The amplitude of this wave is 0.0855 m, its frequency is 3.49 Hz, and its wavelength is 1.25 m. What is the shortest transverse distance d between a maximum and a minimum of the wave? d = m How much time At is required for 76.3 cycles of the wave to pass a stationary observer? At = S Viewing the whole wave at any instant, how many cycles N are there in a 40.1 m length of string? N = cycles

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### Sinusoidal Transverse Wave Analysis

A sinusoidal transverse wave travels along a long, stretched string. The amplitude of this wave is 0.0855 m, its frequency is 3.49 Hz, and its wavelength is 1.25 m.

**Problem 1: Shortest Transverse Distance**
What is the shortest transverse distance \( d \) between a maximum and a minimum of the wave?

\[ d = \boxed{\hspace{10cm}} \text{ m} \]

**Problem 2: Time for Cycles to Pass a Stationary Observer**
How much time \( \Delta t \) is required for 76.3 cycles of the wave to pass a stationary observer?

\[ \Delta t = \boxed{\hspace{10cm}} \text{ s} \]

**Problem 3: Number of Cycles in a Given Length**
Viewing the whole wave at any instant, how many cycles \( N \) are there in a 40.1 m length of string?

\[ N = \boxed{\hspace{10cm}} \text{ cycles} \]
Transcribed Image Text:### Sinusoidal Transverse Wave Analysis A sinusoidal transverse wave travels along a long, stretched string. The amplitude of this wave is 0.0855 m, its frequency is 3.49 Hz, and its wavelength is 1.25 m. **Problem 1: Shortest Transverse Distance** What is the shortest transverse distance \( d \) between a maximum and a minimum of the wave? \[ d = \boxed{\hspace{10cm}} \text{ m} \] **Problem 2: Time for Cycles to Pass a Stationary Observer** How much time \( \Delta t \) is required for 76.3 cycles of the wave to pass a stationary observer? \[ \Delta t = \boxed{\hspace{10cm}} \text{ s} \] **Problem 3: Number of Cycles in a Given Length** Viewing the whole wave at any instant, how many cycles \( N \) are there in a 40.1 m length of string? \[ N = \boxed{\hspace{10cm}} \text{ cycles} \]
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