A given star orbits the center of its galaxy at an average speed of Ustar, at a distance of rstar from the center. The galaxy has 2 spiral arms, and the arms themselves orbit slower than the star -- at the same radius, they orbit at a speed of Varms (in the same direction as the star). The galaxy's age is tgal. In the history of this galaxy, how many times did this star cross through a spiral arm? Values: Vstar 200 km/s rstar = 9 kpc Varms 42 km/s tgal = 5 Gyr Round your answer to the nearest whole number.
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- The pendulum of a clock consists of a mass of 0.20 kg hanging from a thin rod. The amplitude of the pendulum swing is 3.0 cm. The clock is driven by a weight of mass 4.5 kg that falls a distance of 0.95 m over a period of 8 days. Assuming the pendulum to be a simple pendulum of length 0.75 m, Find the Q-value of the clock. (Assume g = 9.81 ms2.).A 45 kW rated solar power system has its power output and the Solar irradiance on the PV system measured during daylight hours over a day. Based on the following data, create a scatter plot of the power output of the PV system vs the solar irradiance and comment on the relationship between the two. Based on the data, can you tell which season this day was in? Solar Irradiance on the PV system (kW/m²) 0 0.079 0.333 0.571 0.751 0.86 0.914 0.93 0.904 0.803 0.606 0.345 0.054 Power output from the PV system (kW) 0 3.098 12.438 20.124 25.703 28.498 29.587 29.69 28.798 26.264 20.434 12.223 2Consider the two-dimensional incompressible velocity potential Φ=xy-x²-y² Find the equation of the streamline that passes through (x,y)=(13,12) The equation of the streamline is ψ=______
- do fastAttendance at Orlando's newest Disneylike attraction, Lego World, has been as follows: Guests (in thousands) Quarter Winter Year 1 Spring Year 1 Summer Year 1 Fall Year 1 Winter Year 2 Spring Year 2 63 94 168 75 64 83 Season Quarter Winter Summer Year 2 Fall Year 2 Winter Year 3 Spring Year 3 Summer Year 3 Fall Year 3 Based on the given attendance, the seasonal indices for each of the seasons are (round your responses to three decimal places): Guests (in thousands) Index 124 51 94 151 210 99The drum has a weight of 72 lb and a radius of gyration kO=0.4ft . If the cable, which is wrapped around the drum, is subjected to a vertical force P = 12 lb, determine the time needed to increase the drum's angular velocity from \omega 1=5rad/s to \omega 2=25rad/s . Neglect the mass of the cable.
- N2. An artillery piece and integral supporting base weigh 1800 lb and have a recoil spring for which k = 24000 lb/ft. When fired, the system recoils 40 in. A dashpot having a critical damping constant is the engaged on the return stroke. Determine: (a) The initial velocity of recoil (b) The damping constant (c) The position of the gun and base at 0.5 sec of the return stroke.I need answer typing clear urjent no chatgpt used i will give upvotes
- A 50-mm-diameter, thin-walled metal pipe covered with a 25-mm-thick layer of insulation (0.085 W/mK) and carrying superheated steam at atmospheric pres- sure is suspended from the ceiling of a large room. The steam temperature entering the pipe is 120°C, and the air temperature is 20°C. The convection heat transfer coefficient on the outer surface of the covered pipe is 10 W/m² K. If the velocity of the steam is 10 m/s, at what point along the pipe will the steam begin condensing? i will 10 upvotes urgentTucson Machinery, Inc., manufactures numerically controlled machines (NCM), which sell for an average price of $12 million each. Sales for these NCMs for the past two years were as follows: Quantity (units) Quantity (units) Quarter Last year ||| III IV 12 18 20 24 Quarter This year | || ||| IV 20 24 28 32 Find the equation of a simple linear regression line using Excel, in the format of Y=a+bX. Keep two decimals of a and b. Forecast the first quarter sales for next year. Keep two decimals.Miles Filtration, Inc. provides maintenance services for water filtration systems throughout Southern Florida. Customers contact Johnson with requests for maintenance service on their water filtration systems. To estimate service time and the service cost, Johnson’s managers want to predict the repair time necessary for each maintenance request. Hence, repair time in hours is the dependent variable. Repair time is believed to be related to three factors: the number of months since the last maintenance service, the type of repair problem (mechanical or electrical), and the repairperson who performs the repair (Donna Newton or Bob Jones). Data for a sample of 10 service calls are reported in the following table: Develop the multiple regression equation to predict repair time, given the number of months since the last maintenance service, the repairperson, and the type of repair. What are the interpretations of the estimated regression parameters? What does the coefficient of…