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Solution


Q.

Consider S=xcosθ for x=(2.0±0.2) cm and θ=(53±2)°=(0.9250±0.0035) radians. Find absolute error in S.

Given cos 53°=35, sin 53°=45.
1 0.216 cm  
2 0.126 cm  
3 0.136 cm  
4 0.116 cm  

Ans.

(2)

ΔS=Δxcosθ+xsinθ.Δθ