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A dragster comes off the start line with an acceleration of 4 m/s2. The acceleration increases uniformly from 4 m/s2 to 10m/s2 over 3 seconds, then remains constant to the finish line (500m). Find: t
What is the velocity of the canoe when it hits the bottom? Give one reason why this may easiest be handled by an energy approach. Use energy methods to determine this velocity.
The aircraft drops the supplies from a point 100 m above the peak of the mountain, while traveling horizontally with a velocity of 300 km/hr. How far down the mountain will the supplies strike and h
Determine the convection coefficient between the wall and water. Also show that the steady state temperature distribution has form T(x) = ax^2 + bx + c.
If the inside surface of the furnace front is subjected to uniform heat flux of 5kW/m^2 and the outer surface has an emissivity of .30, determine the inside surface temperature of the furnace front.
Determine (a) the time at which the velocity will be zero, (b) the position and distance traveled by the particle at that time, (c) the acceleration of the particle at that time, (d) the distance tr
Write the governing equation for the temperature distribution, T(x). what is the name of this equation? solve the equation for the general solution in terms of (qx''/k).
The cannon recoils and strikes a plate attached to a spring. Find the maximum spring deflection if the plane is smooth and the spring constant is 500 ft/sec.
Determine the amount of the air (kg) that must be bled off to restore the pressure to its original value at this temperature assuming that the volume does not change.
A temperature of 27°C. 3 litres of gas at the same temperature and pressure are forced into the vessel. The temperature is then raised to 127°C. Calculate the new pressure of the gas.
A beam has a solid square cross section of 100mm and is simply supported by two supports 3m apart. Calculate the dead load that can be safely supported when applied to the middle of the beam.
Find the global minimum via the Golden Section search. Start with a range [5, 10] and iterate until the range is less than 0.5.
Use Excel to solve for the amount of each part that maximizes profit. Which would further maximize profit, hiring an extra 40 hours of fabrication time or finishing time?
Design a V-belt drive for this application, including sheave sizes, center distance etc. The motor size limits that the center distance be at least 22 inches.
Design a chain drive for a steam turbine driving a centrifugal pump. The input speed is 2200 rpm and output is around 775 rpm.
A fundamental law of motion states that the acceleration of an object is directly proportional to the resultant force exerted on the object and inversely proportional to its mass.
It then increases its speed to 7v while traveling along the same circular path. By what factor has the centripetal acceleration of the particle changed? By what factor has the period of the particle
Determine (a) the exit velocity of the nitrogen and (b) the ratio of the inlet to exit area A1/A2. Assume constant specific heat.
Determine the first time (greater than zero) that the position is at its maximum value. Set the argument of the sine or cosine function to the value that satisfies the stated condition, and solve for
Determine the radius of the orbit and the speed of the rocket from the requirement that the centripetal force keeping the rocket in orbit is the gravitational force.
Find the angular frequency rad/s Identify the total mass that is moved back and forth by the spring, and use the mass and spring constant to calculate the angular frequency.
If we want to propel a portion of the rocket to infinity (in the direction tangential to the circular orbit), what's the escape speed from there?
Calculate the mass of the Sun noting that the period of the Earth's orbit around the Sun is 3.156 107 s and its distance from the Sun is 1.496 1011 m.
The hiker tries to signal the pilot by sending transverse pulses up the cable. A pulse takes 0.250 s to travel the length of the cable. What is the acceleration of the helicopter?
The weight of the empty car is 0.4 lb and it holds 2 lb of water. Knowing the top speed of the car is 8 ft/s determine the relative velocity of the water that is being ejected.