Question

In: Math

A patrol car is parked 50 feet from a long warehouse (see figure). The revolving light...

A patrol car is parked 50 feet from a long warehouse (see figure). The revolving light on top of the car turns at a rate of 32 revolutions per minute. How fast is the light beam moving (in ft/sec) along the wall when the beam makes angles of θ = 45°, θ = 60°, and θ = 80° with the line perpendicular from the light to the wall? (Round your answers to two decimal places.)

(a)    θ = 45°

ft/sec

(b)    θ = 60°

  ft/sec

(c)    θ = 80°

ft/sec

Solutions

Expert Solution


Related Solutions

A rancher has 600 feet of fencing to enclose two adjacent rectangular corrals (see figure). (a)...
A rancher has 600 feet of fencing to enclose two adjacent rectangular corrals (see figure). (a) Write the area A of the corrals as a function of x. A(x) = (b) Construct a table showing possible values of and the corresponding areas of the corral. (Round your answers to two decimal places.) x A 55 60 65 70 75 80 Use the table to estimate the dimensions that will produce the maximum enclosed area. (Round your answers to two decimal...
Suppose I have a rectangular building with five floors, each 10 feet high, 50 feet long...
Suppose I have a rectangular building with five floors, each 10 feet high, 50 feet long in the x direction and 30 feet wide in the y direction. Suppose x is the direction perpendicular to the wind and y is the direction parallel to the wind. Suppose coordinate (0,0) is at the lower left side of the building facing the wind. If I know the wind pressures at each floor level, what would be the coordinates of the resultant wind...
The light we see the electromagnetic radiation that is boouncing off from an object
Can someone explain the concept of electromagnetic radiation?   The light we see the electromagnetic radiation that is boouncing off from an object,(not sure , it’s not being absorbed or not)?   Someone lelectromagentic radiation is emitted by substances when electrons goes to a lower energy state that is energy is reallease?   Can someone explain more? When a light is transmitted it does nothing to the system?    
Joe leaves an intersection traveling west in his car. He is 20 feet from the intersection...
Joe leaves an intersection traveling west in his car. He is 20 feet from the intersection 4 seconds later. At the same time, Joshua leaves the intersection heading north in his car so that his position 4 seconds later is 26 feet from the intersection. If, at that instant time, Joe's speed is 8 feet per second and Joshuas' speed is 12 feet per second, find the rate at which the distance between the two cars is changing to the...
We see light from a distant quasar as the color lamda=3um. If the quasar is moving...
We see light from a distant quasar as the color lamda=3um. If the quasar is moving away from us at .95c what color was the light when it was emitted from the quasar and is it visible to our eyes? If someone on this distant quasar beamed an X-ray laser (lamda=1nm) towards us, what color would the laser appear to us and would it be visible to our eyes? please show step by step thank you!
Figure out how to test what happens when the light rays come from underwater. Compare your...
Figure out how to test what happens when the light rays come from underwater. Compare your ideas about why things look different under water to how light rays appear to “bend.”.
A 100 foot long horizontal pipeline transporting benzene develops a leak 43 feet from the high-pressure...
A 100 foot long horizontal pipeline transporting benzene develops a leak 43 feet from the high-pressure end. The diameter of the leak is estimated to be 0.1 inch. At the time, the upstream pressure in the pipeline is 50 psig and the downstream pressure is 40 psig. Estimate the mass flow rate of benzene through the leak. The specific gravity of benzene is 0.8794.
A 50 inch long belt is used to transmit power from a motor to a working...
A 50 inch long belt is used to transmit power from a motor to a working shaft. The two sheaves involved are both the same size, hence the belt is not being used to reduce or increase speed or torque, but simply to “couple” two shafts. The motor’s rated power is 50 hp and the required service factor is 1.25. The motor speed is 1160 rpm and the sheave diameters are 7.9”. How many 5V belts are required here? What...
An ambulance is traveling south at 50 m/s, away from a car that is traveling north...
An ambulance is traveling south at 50 m/s, away from a car that is traveling north at 30 m/s. The ambulance driver hears his siren at a frequency of 750 Hz. The velocity of sound is 343 m/s . What frequency (in Hz) does the driver of the car hear the siren?
As shown in the Figure below, a light string that does not stretch changes from horizontal to vertical as it passes over the edge of a table.
As shown in the Figure below, a light string that does not stretch changes from horizontal to vertical as it passes over the edge of a table. The string connects m_1, a 3.30 kg block, originally at rest on the horizontal table at a height 1.29 m above the floor, to m_2, a hanging 2 kg block originally a distance d = 0.980 m above the floor. Neither the surface of the table nor its edge exerts a force of...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT