H.W: A mass flow rate m(g/s) is measured as a function of temperature T(°C). T 10 20 40 80 m 14.76 20.14 27.73 | 38.47 There is reason to believe that m varies linearly with the square root of T: im = aT/2 + b Use a straight-line plot to verify this formula and determine a and b.
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- In the diagram below there is a thick-walled cylindrical tube. Its height is H = 5.0 m, its inner radius is R1 = 1.0 m, its outer radius is R2 = 3.0 m and its mass is M = 10.0 kg. The volume density is proportional to the square of the height h measured from the top of the cylinder: p x h?. R2 a) Proof that the proportionality constant k (p = kh?) is k = , ms 100m b) Determine the position of the center of mass of this object. c) Determine I, the moment of inertia of the cylindrical tube around the axle going through the center of the top (as shown on diagram). You can use lying =mr? (the rotational inertia of a ring of radius r and mass m rotating around an axis parallel to it, through its center).The sides of a small rectangular box are measured to be (1.90 ± 0.01) cm, (2.00 ± 0.02) cm, and (3.1 ± 0.1) cm long. Calculate its volume and uncertainty in cm³. a. Its volume is b. The uncertainty on its volume is cm³. cm³.The atmospheric pressure at the time the video was taken was recorded by the National Weather Service as 30.10 inches of mercury, with the alternative measure of a sea level equivalent 1018.8 bar. What was the atmospheric pressure in the laboratory (we are only a few km from the Weather Service's station) in SI units? The standard unit of pressure is the pascal. For atmospheric pressure it is conventional to use kPa, kilopascal. Why is there a difference between the measured pressure locally and the sea level equivalent, apart from the continued use of imperial units for barometric pressure.
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- The Statue of Liberty in New York City is approximately 305 ft305 ft tall. How many U.S. dimes would be in a stack of the same height? Each dime is 1.35 mm1.35 mm thick. number of dimes: Each dime has a mass of 2.268 g.2.268 g. How much would the stack of dimes from the previous question weigh? mass: g What is the value, in dollars, of the same stack of dimes? value: dollars The 2017 U.S. gross domestic product (GDP) was valued at 19,390,604,000 dollars.19,390,604,000 dollars. How many Statue of Liberty‑height stacks of dimes are needed to match the GDP in value? number of stacks:Question 3 Units and Dimensions. Express the units of the following parameters in Sl units in terms of mass(kg), length(m), time (s) and temperature (K). For example, the unit for Force can be expressed as kg m/s². Pressure: Stress: Viscosity: Kinematic viscosity: Acceleration: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.