A guitar string 0.65m long vibrates with a first harmonic frequency of 280Hz. Mary measures 1m of the string and discovers that it weighs 8.0x10^-4 kg. What is the tension in the guitar string?
f = 280 Hz, l = 0.65 m, μ = 8x10^-4 kgm^-1Therefore use the equation f=(1/2l)(T/μ)^1/2Rearrange it to get it in the form T= by multiplying f by 2l, squaring both sides and then multiplying by μ to getT = μ*(2lf)^2(This can also be simplified to T = 4μl^2f^2 )Then simply plug in the numbers that we gathered from the questionT = 48x10^-40.65^2280^2T = 48x10^-40.422578400T = 105.9968 NThe numbers in the question were to two significant figures, so round to two significant figuresT = 110 N
ES
Related Physics A Level answers
All answers ▸A bullet is fired horizontally from a gun at a height of 1.5m at 280m/s. Calculate the time taken for it to hit the ground. A second bullet is fired from an adjacent gun at 370m/s. Calculate the distance it travel before the first bullet hits the ground.
Describe how the strong nuclear force between nucleons varies with seperation of the nucleons.
A spherical object of mass 150kg is orbiting the Earth. The distance between the centre of the object and the centre of the Earth is 25,000m. What is the kinetic energy of the object?
A student heats a bar of chocolate in the microwave for one minute. When they remove the bar they observe that there are patches of melted chocolate with unmelted chocolate between them. Suggest the mechanism of how this happens.