A few measurement results are given to you without explicit error. Calculate the

Question

A few measurement results are given to you without explicit error. Calculate the required quantity and state the result with the correct number of significant figures. The constant speed of a cart is v = 23.45 m/s. Calculate the time it takes the cart to travel a distance of 7.4m using the formula time = distance/speed. A door is 32 inches wide and a piece of furniture we try to move through the door is 75.4 cm wide. What is the width of the door in cm? What is the difference in the width of the door and the width of the furniture (state the result in cm)? The sides of a right triangle are given as a = 45 cm and b = 30.1 cm. Calculate a^2 and calculate b^2. Use the Pythagorean theorem to calculate the length c of the hypotenuse of the right triangle described in part d. Assume that the number of significant figures when taking a squareroot of a number is the same as for the number.

Explanation / Answer

a) t = 7.4/23.45 = 0.3156 s

b) 1 inch = 2.54cm

So 32 inches = 81.28 cm

c) 81.28-75.4 = 5.88 cm

d) a2 = 2025 cm

b2 = 906.01 cm2

e) c = (a2 + b2)0.5 = (2931.01)0.5 = 54.0388 cm

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