Question

The Young's Modulus Y is determined by stretching
a wire
by using formula
Y = 4FL/pie d2l
F is the stretching force, L is length of wire,
L is increase in length and d is diameter of
Cross-section of wire.
F is of order of 500 N
and known to
part to 1 part in 1000
L is of order
of 3m and measured with accuracy of Imm.
l is of order 5mm measured to 0.1 mm and
d 1 mm correct upto 0.01 mm. Estimate
the percentage error in Y.

Answer 1

Answer:

The Young's modulus Y is determined by stretching a wire by using the formula , <br> Y = (4FL)/(pi d^(2)l) <br> where F is the streching force , L is length of wire , l is extension in length and d is its diameter . If F is of the order of 500 N and known to 1 part in 1000 L , is of the order of 3 m and measured with an accuracy of 1 mm , l is of the order of 5 mm measured to 0.1 mm and d is of the order of 1 mm measured correct upto 0.01 mm , estimate the percentage error in the measurement of Y .