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- 7. A rectangular lamina has vertices (0,0), (0, 2), (3,0), (3, 2) and density ry. Find (a) M, (b) , y, (c) Iz, Iy, (d) Im about an axis parallel to the z axis. Hint: Use the parallel axis theorem and the perpendicular axis theorem.4. Check dimensions of the formula and verify that the formula is dimensionaly correct : V=gh +2 v - velocity; g - gravity acceleration; h - size; p - preassure; p - density1. What is the period of ? = 3 sin(?/2)? a.4?b.2?c. ? 2. What is the apothem of a regular polygon having an area of225 sq.cm. and a perimeter of 60 cm?
- 21. Your town has built a new water tower and has decided to cover the sides with wallpaper. You've been tasked with calculating how many square feet of wallpaper are necessary. The water tower is 25 meters tall with a diameter of 10 meters. (Hint: you're looking for the lateral side area; and be careful of your units!) 2ad sloo A L1. The volume of Earth is on the order of 1021 m3. a. What is this in cubic kilometers (km3)? b. What is it in cubic miles (mi³)? c. What is it in cubic centimeters (cm3)?In the equation, C1 = ρgy+0.5ρC22), if y is distance, g is gravitational acceleration, ρ is density and P is pressure , then, the dimensions of C2 is Select one:a. LT-1b. L-1 T-2c. L2T-2d. Dimensionlesse. LT-2
- What is the volume of a hollow cylinder with radius r, wall thickness d (dAn Olympic swimming pool is approximately 88,263 ft3. How many cubic meters (m3) is this? Assume there are 3.28 ft in 1 meter. A. 4.0 x 10-4 B. 2501.3 C. 26909.5 D. 3114585.21. Find the percent uncertainty of 300±5 cm. How will you write the value of the measurement? 2. How do you write the following numbers in scientific notation or power of ten notation? a. 0.000123 b. 3,141,600,000 c. 1,005,000 d. 0.000000007 e. 100,000,000 3. Determine the number of significant figures in the following measurements. a. 0.00624 b. 300.1 c. 62,000.00 d. 1.0100 e. 10.01 4. Convert the following measurements to the mks(m-kg-s) system of units. a. 20 g/cm3 b. 100 km/hr c. 980 cm/s2 d. 0.5 kg/cm 5. Using dimensional analysis, check which of the following equations is or are correct. a. d = (1/2)at b. mgh = (1/2)mv2 c. a = v2/tThe Earth has a mass of 5.98*1024kg and an average radius of 6.37*10 m. What is the density of the Earth? a. 7500E/m3 b. 5500k/m3 c. 3500/m3 d. 10000kE/m3a. Density measures how much mass per unit of volume an object has. Calculate thedensity of Earth using the formula for a volume of a sphere and the constantvalues found on your formula sheet. b. What can you say about the composition of Earth when you compare your valuefrom question 4 to the density of water (approximately 1000 kg/m3 at roomtemperature)?3. Suppose 1.0 cubic meter of oil is spilled into the ocean. Findthe area of the resulting slick, assuming that it is one moleculethick, and that each molecule occupies a cube on a side.SEE MORE QUESTIONS