We measure the radius of a circle to be (9.00 plusminus 0.05)cm. What is the cir

Question

We measure the radius of a circle to be (9.00 plusminus 0.05)cm. What is the circumference of the circle and its error C = 2 pi R? An object is composed of two parts of mass m_1(300 plusminus 4)g and m_2(200 plusminus 3)g. What is the mass of the compound object and its error? We have a rectangular surface of length I = (15.0 plusminus 0.1)cm and width w = (10.0 plusminus 0.1)cm. What is the area of this surface and its error? If we measure the radius of a disk to be (1.000 plusminus 0.001)m, what is the error on the area of the disk A = pi r^2? A cube of volume of (27.00 plusminus 0.05) cm3 and mass (250.0 plusminus 0.1)g. What is the error on its density rho = M/V?

Explanation / Answer

1. C = 2×pi×9=56.6 cm error=2×pi×0.05=0.3 cm

2. M= 500 g error=sqrt(4^2+3^)=5 g

3. A=15×10=150 cm^2 error=150×sqrt((0.1/15)^2+(0.1/10)^2)=2 cm^2

4. Error=2×pi×1×0.001=0.006 cm^2

5. Density =250/27=9.26 g/cm^3 error=9.26×sqrt((0.05/27)^2+(0.1/250)^2)= 0.02 g/cm^3

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