A 2.00-m long metal wire is formed into a square and placed in the horizontal xy-plane. A uniform magnetic field is oriented at 30° above the horizontal with a strength of 0.344 T. What is the magnetic flux through the square due to this field?
A) 0.0745 T ? m2
B) 0.172 T ? m2
C) 0.0430 T ? m2
D) 0.298 T ? m2
C
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Purified water, flowing at the rate of 45 kg/h is to be heated from 25°C to 75°C in a food processing plant before it is mixed with thickened tomato puree for sauce production. A thin-walled, 1.25 cm diameter, stainless steel tube is used, which is maintained at a constant surface temperature of 175°C by immersing it in a hot mineral bath. Calculate the length of tubing required and determine whether the forced convection inside the tube is fully developed or has entrance effects. Also, what is the frictional loss?
GIVEN • Diameter of steel tube (Di)= 1.25 cm = 0.0125 m • Cooling water inlet temperature (Tin)= 250C • Cooling water flow rate ( m• )=45 kg/h=0.0125 kg/h • Water outlet temperature (Tout)= 750C • Surface temperature(Ts)=1750C FIND (a) Length of tubing required. (b) whether the forced convection inside tube is fully developed or has entrance effects PROPERTIES AND CONSTANTS Density (?) = 988.1 kg/m3 Specific heat (cp) = 4178 J/(kg K) Thermal conductivity (k) = 0.647 W/(m K) Absolute viscosity (?) = 555.1 × 10–6 (Ns)/m2 Prandtl Number (Pr) = 3.55
Jan and Len throw identical rocks off a tall building at the same time. The ground near the building is flat. Jan throws her rock straight downward
Len throws his rock downward and outward such that the angle between the initial velocity of the rock and the horizon is 30°. Len throws the rock with a speed twice that of Jan's rock. If air resistance is negligible, which rock hits the ground first? A) They hit at the same time. B) Jan's rock hits first. C) Len's rock hits first. D) It is impossible to know from the information given.
Rotation curves for spiral galaxies show:
A) they are slowing down. B) rotation speed drops off further from the nucleus. C) most have dark halos. D) most of the mass lies in the nucleus. E) no relation to mass.
Which of the following stars will live longest?
A) a 1-solar-mass star B) a 2-solar-mass star C) a 3-solar-mass star D) a 4-solar-mass star E) a 5-solar-mass star