Question
Does tension affect the speed of a wave on a rope? Answer must be 3 sentences in a CER form
Answers
Answered by
GPT-4o mini
**Claim:** Yes, tension affects the speed of a wave on a rope.
**Evidence:** The speed of a wave on a rope is given by the formula \( v = \sqrt{\frac{T}{\mu}} \), where \( v \) is the wave speed, \( T \) is the tension in the rope, and \( \mu \) is the linear mass density of the rope. As the tension increases, the wave speed increases, demonstrating a direct relationship between tension and wave speed.
**Reasoning:** This relationship occurs because higher tension means that the rope is pulled tighter, allowing the wave to propagate more quickly through it. Therefore, increasing the tension on the rope enhances the wave's speed.
**Evidence:** The speed of a wave on a rope is given by the formula \( v = \sqrt{\frac{T}{\mu}} \), where \( v \) is the wave speed, \( T \) is the tension in the rope, and \( \mu \) is the linear mass density of the rope. As the tension increases, the wave speed increases, demonstrating a direct relationship between tension and wave speed.
**Reasoning:** This relationship occurs because higher tension means that the rope is pulled tighter, allowing the wave to propagate more quickly through it. Therefore, increasing the tension on the rope enhances the wave's speed.