Question

A cylinder coil of copper wire has 700 turns each of diameter 4cm
a. Use the value 22/7 for the to find the total length of wire
b. If the mass of the coil is 3.3kg find the mass of 1m of copper wire

Answer 1

a.$=88m$

b.$=.0375kg$ or$=37.5g$

Step-by-step explanation:

given,number of turns=700,diameter of wire=4cm,mass of coil=3.3kg,use 22/7 instead of π

circumference of 1 turn of coil$=2\Pi \times r$                   r=4/2=2cm

$=2\Pi \times 2$

$=2\times 22/7\times 2$

$=88/7cm$

 length of wire=number of turn × circumference of 1 turn

$=700\times 88/7cm$

$=8800cm$

$=8800/100m$

$=88m$

$=3.3$ kg is the mass of coil having length $88m$

$88m$ length have copper wire $3.3kg$

$1m$ length of copper wire have mass$=3.3/88kg$

$1m$ length of copper wire have mass  $=.0375kg$ or$=37.5g$