A piece of 17 cm long wire is to be wound around a wooden dowel, the diameter of which is of a centimeter.

Find the possible number of turns with explanation.

Question

A piece of 17 cm long wire is to be wound around a wooden dowel,
the diameter of which is of a
centimeter
Find the possible number of turns with explanation

Ayush Jha · Accepted Answer

Total length of the wire is 17 cm

Radius of the wooden dowel, $(r) = \frac{1}{6} c m$

Length of one turn of wire is equal to the circumference of wooden dowel.

So,

$N u m b e r o f t u r n s = \frac{T o t a l l e n g t h o f t h e w i r e}{L e n g t h o f o n e t u r n} = \frac{17}{2 (\frac{22}{7}) (\frac{1}{6})} = 16.22 t u r n s \approx 16 t u r n s$

A piece of 17 cm long wire is to be wound around a wooden dowel, the diameter of which is of a centimeter. Find the possible number of turns with explanation.

A piece of 17 cm long wire is to be wound around a wooden dowel, the diameter of which is of a centimeter.

Find the possible number of turns with explanation.