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- (b) The planet Neptune has an equatorial diameter of 49,532 km and its mass is 1.0247 x 10 kg. If the planet is modelled as a homogeneous sphere, what is the acceleration due to gravity at its surface? (The universal gravitational constant is G = 6,67 x 10-|" N- m/kg².)Here are these questions if I could get help with themIf a spherical storage tank holds 40,000 gallons (120,000 liters) of water,what diameter must it have?If a cylindrical storage tank has a 40-foot (12 m) diameter circular 05::=how high must it be to hold 1 million gallons (3 million liters)?If water is moving at a rate of 3.2 ft3/sec (90,000 cc/sec), how manygallons (liters) per minute is this?If the specific gravity of gold is 19.0. what is the weight of a cubic inch(cubic centimeter) of gold? A cubic foot (cubic meter)?The mass of a flid stem is 0.311 slu, ts density is 30 l/ft' and the force of gravityis at 31.90 fps". Fin (a) the secfic olume in cm'/g,(b) the specfic weight ke/m', and (c) the total volume in in'. Solve the following problems SYSTEMATICALLY, enclose your final answers in a box, and Please write clearly. Thanks.
- Ів 00 WB WC DBC A LA WA P lc UBC Engineering A kid excitedly swings his foam cut-out hammer. If point P acts like a pin and the hammer rotates about kg that point, what is the moment of inertia of the hammer? The foam has a density of p = 150 and a uniform thickness of t = 0.5 cm. Assume each cut-out is a rectangular plate and the foam acts as a rigid body. m³ Plate A has a length 14 = 34 cm and width w₁ = 8 cm. Plate B has a length 13 = 8.5 cm and width wB = 30 cm. Plate C is identical to plate D, and has a length lc = 15 cm and width wc = 5 cm. Plate C and D are attached to plate B such that their centers line up. Ip = 0.00758 x (kg) - m²Center of mass TAAL Myn e un K 2 + qabure Cylinder has non-uniform density density is ply) = 5.25y-2.31 [ kg/m³] umit[m]. be: 0031/20 APP. Find ÿ of The density when radius is: 3,75 m height is 8.17m + + NAPOT. # 20 AT 12 VOTHYDROSTATIC FORCE ON PLANE SURFACEPlease show substitution and please make it easy to understand if handwritten. Also the final answer should be in KN. THANKYOU!!!And how is inertia given by I = bd^3/36. Isn't it I = bd^3/12? THANKS!
- Surface tension is due to uneven molecular attraction between immiscible fluid media and solid surface. Its importance is governed by dimensionless parameter Which of the Inertia force called Weber number given by We = Surface tension force™ following statements are correct? (i) Surface tension becomes important when the length scale L is small such as in ink jet printing, coating of thin film, oxygenation of water by falling rain drops. (ii) 111 Super-hydrophobicity can be achieved by micro/nano texturing of surface such as in lotus leave, butterfly and dragonfly wing. During oil spill in ocean, oil floats and spreads out due to gravity. By conservation of mass, the oil film becomes thinner as it spreads. Finally, the surface tension force becomes important causing the formation of tiny oil droplets. (A) (B) (C) (D) (i) and (ii) (i) and (iii) (ii) and (iii) All of the aboveStatics of Particle and Forces: Force resolution and representation, Equilibrium, Free-body diagram, etc. 1-1 The crate of mass m kg is hoisted using a pulley-ring connector and inextensible cables as shown. a) With a simple diagram, explain how a given 2-D rigid body with multiple concurrent forces can be treated as a particle- b) (i) Express EFBc in its rectangular components using the Cartesian coordinates. (ii) Find the resultant of the weight of the crate and the tension in cable BC. (iii) Determine the magnitude of the tension in cable BD and the angle required for static equilibrium. c) Assess the condition of equilibrium if a small ring is used at B instead of the pulley and that cable BD is directed at 0= 40°. [b) (i) Inc - 0.6mg i-0.8mg i N; (ii) R = -0.6mg i- 1.8mg i N; (iii) TBD = 1.9mg N and 0= 71.6°] B AThe two-pan balance scale of Fig. a 400-mm-long bar that fits loosely over a 20-mm-diame- ter shaft. The center of mass of the bar coincides with the center of the shaft. The scale functions by placing an item to be weighed (for example, a mini-TV) in the right pan and then placing known weights in the left pan until the scale is in equilibrium. However, because of bearing fric- tion, the system can be in equilibrium for more than a sin- gle value of weight in the left pan. If the coefficient of fric- tion between the bar and the shaft is 0.30, determine the range of weights that can be placed in the left pan to bal- ance an 80-N object placed in the right pan. consists of -200 mm 200 mm -
- The density of liquid water at 25 degrees celsius equals 62.2lbs/cube ft. Suppose the KD DF stud at the top of the page weighs 13.35lbs. And suppose the KD DF stud is thrown into a swimming pool, Twater=25 degrees celsius. Based on data would the stud: sink completely, partually. or float completelyTwo spheres, one heavier and weighing12000 N and of diameter 1.2 m and the other lighter and weighing 4000 N, are tied with a rope and placed in seawater. The density of sea water is 1025 kg/m^3. It was found that the spheres floated vertically with the lighter sphere just under the water PROBLEM 0surface. Illustrate the problem before answering the following questions:a)Determine the diameter of the lighter sphere in meters.b) Determine the tension in the rope in Newtons.4. A skater with a mass of 60 kg coasting with a speed of 5 m/s approaches a ramp. (a) What is his KE at this point? [E-S-A] KE= '/2 *M y= KE- /z (60K9X5M/s') (b) How much GPE does the skater have as he approaches the ramp? Jno E-S-A necessary (c) As the skater moves up the ramp, (GPE, KE) will be converted to (GPE, KE) (d) How far up the ramp will the skater be able to make it without any extra force added? [E-S-A Round to nearest 0.1