Hi,

I am currently doing my HNC and I am struggling with a few maths questions I hope you can all help me with.

1. The power (P) dissipated in a resistor (R) which is subjected to a voltage (V) across its terminals is given by the well-known formula;2.

𝑃=𝑉2𝑅

Since you are new to the company your new Line Manager is unsure of your capabilities, and has asked you to use the dimensions of P and V to determine the dimensions of R.

A guitar string, made by your Musical Instruments division, has mass (m), length (𝑙 and tension (F). It is proposed by one of your junior colleagues that a formula for the period of vibration (t) of the string might be;

𝑡=2𝜋√𝑚3𝑙𝐹

Use dimensional analysis to show your colleague that this formula is incorrect.