Find the uncertainty in a calculated average speed from the measurements of distance and time. Average speed depends on distance and time according to this function v(t,x) = x/t. Your measured distance and time have the following values and uncertainties x 3 meters, x =0,1 meters and t 1.8 seconds and 5t = 1.5 seconds. What is the uncertainty in the average speed, bV ? Units are not needed in your answer.
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- Now you will use the ruler to measure the dimensions of a block of pure aluminum metal. Make sure you report both the uncertainty and an estimated digit with your answers. V [ Select ] 1 21 1.5 cm +/- .1 cm cm 1.38 cm +/- .01 cm What is the best measurement of the length of this block? 1.35 cm +/- .01 cm 1.3 cm +/- .1 cm 1.40 cm +/- .05 cmA car travels at 61 km/h and covers a distance of 32.904 m. How long in minutes did it take the car to travel this distance?distance?It only places the numerical value, WITHOUT UNITS.Use at least 4 DECIMALS for the procedure.Place only 2 DECIMALS in the result without rounding.A rectangle has a length of (5.1 ± 0.2) m and a width of (2.3 ± 0.1) m. Calculate: (a) the area and (b) the perimeter of the rectangle, Give the uncertainty in each value.
- Question 2: Complete the following Error Analysis The lengths of the sides of a rectangular box are measured using a ruler marked with a millimeter scale. W The measurements give the values length 83 mm, width 68 mm and height 23 mm. The uncertainty in each measurement is ±1 mm. Calculate, 1. The fractional uncertainty in the measurement of VOLUME is 2. Absolute uncertainty in the measurement of VOLUME in (mm³ ) isA rectangle has a length of (2.8 ± 0.2) m and a width of (1.7 ± 0.2) m. Calculate the area and the perimeter of the rectangle, and give the uncertainty in each value. (a) Calculate the area and give its uncertainty. (Enter your answers in m2.) m2 ± m2 (b) Calculate the perimeter of the rectangle and give its uncertainty. (Enter your answers in m.) m ± mAt 9:13 A.M., a sports car is traveling 30 miles per hour. Two minutes later, the car is traveling 90 miles per hour. The mean value theorem guarantees that at some time during this two-minute interval, the car's acceleration is exactly A miles per hour squared. Compute the value of A. A = mi/h² Need Help? Read It
- The radius of a sphere is known to be r = 6.27 ± 0.06 cm. The volume of a sphere is given by (4/3)?r3. Find the absolute uncertainty and the percent uncertainty in the volume of the sphere. absolute uncertainty cm3 percent uncertaintyThe radius of a circle is measured to be (13.6 ± 0.3) m. Calculate each of the following and give the uncertainty in each value. (a) the area of the circle m² ± (b) the circumference of the circle m t m² mThe sides of a small rectangular box are measured to be 1.7 ± 0.015 cm, 2.05 ± 0.035cm, and 2.7 ± 0.11 cm long. In this problem you can approximate the percent error on a product or quotient of quantities by the sum of the percent error on each quantity.Calculate its uncertainty in cm3.
- (a) A car speedometer has a 6% uncertainty. What is the range of possible speeds (in km/h) when it reads 100 km/h? (There are two answers. Enter the lowest value first and the highest value second. For each answer, enter a number.) lowest km/hhighest km/h (b) Convert this to miles per hour. (There are two answers. Enter the lowest value first and the highest value second. For each answer, enter a number.) lowest mi/hhighest mi/hHow many significant figures are in the following numbers? (a) 100.0 ± 0.4(b) 4.000 ✕ 106(c) 4.20 ✕ 10-11(d) 0.00601.4 Units in equations Given that the following equation calculates position in meters (x) as a function of time in seconds (t): use dimensional analysis to determine the units of the coefficient "u". Xp = Xi + v¡t +,a,t? + 1 2.3/it3+ 2t4/3 2-3 4 2 3.4.54it + 3.7321 · w t3/2 Units of "u" are