- #1
Nikhil Rajagopalan
- 72
- 5
Homework Statement
The internal and external diameter of a hollow cylinder are measured with the help of a vernier calipers. Their values are (3.87 ± 0.01) cm and (4.23 ± 0.01) cm respectively. The thickness of the wall of the cylinder is ?
Homework Equations
Thickness of cylinder wall= 1/2 (Outer Diameter - Inner Diameter)
t = 1/2 (Do - Di)
The Attempt at a Solution
for value of t,
t = 1/2 (Do - Di)
t = 1/2(4.23 - 3.87)
t = 1/2(0.36)
t = 0.18
for finding the error in t,
by differentiating on both sides,
Δt = 1/2 (ΔDo - ΔDi)
Δt = 1/2 (0.01 + 0.01)
Δt = 0.01
thickness t ± Δt = 0.18 ± 0.01
most sources show the answer as 0.18 ± 0.02. Kindly help me to figure out the mistake that i made in calculating the error.