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#tension calculation

2 public questions tagged with this topic.

Wave Speed, Energy and Power

A string of length 1.5 m and mass 0.03 kg has a wave speed of 60 m/s. What is the tension in the string?

**Energy transport** in waves scales with amplitude squared A² and frequency squared ω². Wave speed determines propagation rate, and understanding T and μ allows quantitative prediction of v and associated frequencies. μ = (0.03/1.5) = 0.02 kg/m . v = √((T/μ)) ⇒ 60 = √((T/0.02)) ⇒ 60² = (T/0.02) . T = 3600 × 0.02 = 72 N . Using v = fλ and standing-wave condition fₙ = n v/(2L) or v/(4L) as applicable, calculation yields 72 N, illustrating frequency-length-speed interdependence and quantization by boundaries.

Ref: NCERT > Physics Book > Waves > Wave Speed, Energy and Power

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Transverse and Longitudinal Waves

A string of mass 0.05 kg and length 5 m is under tension. If the speed of a transverse wave is 100 m/s, what is the tens

**Mechanical waves** require medium and can be transverse or longitudinal. Sound in air is longitudinal since fluids support only compressional motion, while string waves are transverse. Progressive waves transfer energy without net mass transport, distinguishing from standing waves. μ = (mass/length) = (0.05/5) = 0.01 kg/m . v = √((T/μ)) ⇒ 100 = √((T/0.01)) . 100² = (T/0.01) ⇒ T = 10000 × 0.01 = 100 N . Using v = fλ and standing-wave condition fₙ = n v/(2L) or v/(4L) as applicable, calculation yields 100 N, illustrating frequency-length-speed interdependence and quantization by boundaries.

Ref: NCERT > Physics Book > Waves > Transverse and Longitudinal Waves

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