Kinematic wave equation II Calculate the lag time in minutes for a stream of length 7 km in a catchment area of 10.5 km². The slope is 1.7 m/km and the Manning roughness coefficient is 0.05. Consider a rain intensity of 58 mm/day. Provide the answer to three significant figures.
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- A uniform density sheet of metal is cut into the shape of an isosceles triangle, which is oriented with the base at the bottom and a corner at the top. It has a base B = 49 cm, height H = 15 cm, and area mass density σ. a) Consider a horizontal slice of the triangle that is a distance y from the top of the triangle and has a thickness dy. Write an equation for the area of this slice in terms of the distance y, and the base B and height H of the triangle. b) Set up an integral to calculate the vertical center of mass of the triangle, assuming it will have the form C ∫ f(y) where C has all the constants in it and f(y) is a function of y. What is f(y)? c)Integrate to find an equation for the location of the center of mass in the vertical direction. Use the coordinate system specified in the previous parts, with the origin at the top and positive downward. d)Find the numeric value for the distance between the top of the triangle and the center of mass in cm.A particle is moving along a line with position given by s(t)=t3−(9/2(t2 ))+6t−5 measured in meters, with t≥0 measured in minutes, and the positive direction meaning forward. a) Find the equation for the velocity at time t. Give units, and find times the times the particle is moving forward. b) Find the equation for the velocity at time t. Give units, and find times the times the particle is moving backwards. c) Find the total distance travelled by the particle. d) Find the equation of the acceleration at time t. Give the units, and find the times when the velocity of the particle is not changing. e) Find the displacement.In 1957 Stanley Smith Stevens proposed a law that relates the magnitude of a physical stimulus and the perceived intensity. One application of his model relates pressure p felt on the palm as a result of a static force f on the skin. The relationship is p = kf 1.1, where k is a constant. According to Stevens's law, how would a doubling of force affect perceived pressure on the palm? (Round your answer to two decimal places.) Doubling the force would increase the perceived pressure by a factor of
- One mole of Gold (Au) atom has a mass of 197 g. We know that the density of gold is 19.30 g/cm3 in room temperature. Using those numbers, answer the following questions: a) What is the mass of a single gold atom in kg? b) Assume that gold atoms sit in a perfect cubic crystal structure. Estimate the distance between two gold atoms in meters. c) If we have a gold cube of 6 cm on each side, how many atoms can we fit along the edge of each side of the cube? d) What would be the mass, in kilograms, of the gold cube we discussed in part (c) (measuring 6 cm on each side)?I am stuck with this problem can you please help me to solve step by step and give answer in exponential format and 3 significant figures. Example of exponential format And 3 Significant figures 6.96e3Please help. This problem involves finding the radius and volume of a platinum atom using its density. Thank you.
- Preliminary Basic Calculations: The speed of sound is fast, but clearly not as great as the speed of light. There is a common observation that you can tell how far away a bolt of lighting is by counting the time in seconds between the flash (which arrives almost instantaneously) and the thunder. Each second of delay means the strike is 1/5 of a mile away. This implies that sound travels about 1/5 mile/sec or (5280/5) ft/sec≈ 1000 ft/sec. THE TIR (A) What is the approximate speed of sound in meters/sec? daca).sdut llod sdt mi is sd dguonit brs trigit (sbunito ngcourts fel bas fal asqo Page 1 of 10For this problem, we want to estimate the answer, so our assumptions may be a little unrealistic. Suppose we want to estimate how much air we need to send to a space station, assuming we cannot recycle air. Suppose four astronauts are in a spherical space station. If each of them typically breathes about 500 cm³of air with each breathe, and take 15 breathes per minute (average resting value): a. What is the volume of air you would need in the space station if these four astronauts stayed for a full year? b. If the density of air is 1.25 kg/m³ and it costs (thanks to SpaceX) a mere $100/kg to send objects to the space station, how much money would the astronaut air supply cost?Question number 1 and 2 can you show how to calculate to solve ? Here’s the hint for the formula
- S Can 6 PAR к Торс K Unit K In x K Moti = Cop K Unit S Spee S Topo S Math Micr eb.kamihq.com/web/viewer.html?source-filepicker&document_identifier=137VZR5BZOVSAIMOA55WU555_CvJ9NacO + 100 P e Interpreting Graphs Answer the questions following the graphs on each side Dietance va. Time 2 7 10 11 12 13 14 Time in soconds 1. From 1 second to 2 seconds, how fast is the object traveling. (Take the difference in distance and divide it by the time in between the 2 distances) 2. Is the object going as fast between 9 and 12 seconds as it is between 1 and 4 seconds? How can you tell? 3. What is the motion of the object between 4 and 6 seconds? acerProblem 2: At its peak, a tornado is 65 m in diameter and has 260 km/h winds. Randomized Variables d = 65 m s = 260 km/h What is its frequency in revolutions per second? f= cos() tan() 7 9 HOME sin() IT cotan() asin() acos() EAA 4 6. atan() acotan() sinh() 2 3A boat takes 3.70 hours to travel 45.0 km down a river, then 6.70 hours to return. You may want to review (Pages 91 - 92). Part A How fast is the river flowing? Express your answer with the appropriate units. μA Value Submit Units Request Answer ?