Inclined Ramp A 2-pound weight is attached to a 3-pound weight by a rope that passes over an ideal pulley. The smaller weight hangs vertically, while the larger weight sits on a frictionless inclined ramp with angle θ . The rope exerts a tension force T on both weights along the direction of the rope. Find the angle measure for θ that is needed to keep the larger weight from sliding down the ramp. Round your answer to the nearest tenth of a degree.
Inclined Ramp A 2-pound weight is attached to a 3-pound weight by a rope that passes over an ideal pulley. The smaller weight hangs vertically, while the larger weight sits on a frictionless inclined ramp with angle θ . The rope exerts a tension force T on both weights along the direction of the rope. Find the angle measure for θ that is needed to keep the larger weight from sliding down the ramp. Round your answer to the nearest tenth of a degree.
Solution Summary: The author calculates the angle measure for needed to keep the larger weight from sliding down the ramp by rounding their answer to the nearest tenth of a degree.
Inclined Ramp A 2-pound weight is attached to a 3-pound weight by a rope that passes over an ideal pulley. The smaller weight hangs vertically, while the larger weight sits on a frictionless inclined ramp with angle
. The rope exerts a tension force
on both weights along the direction of the rope. Find the angle measure for
that is needed to keep the larger weight from sliding down the ramp. Round your answer to the nearest tenth of a degree.
You are riding the Ferris wheel at the fair. You look down at your friends in line for
the next ride at an angle of depression of 40°. The Ferris wheel is 192 feet tall. What
is the horizontal distance you need to walk to your friends when you get off the
Ferris wheel? Show your work and round your final answer to the nearest tenth of a
foot.
In one of the rides at an amusement park, you sit in a circular "car" and cause it to rotate by turning a wheel in
the center. The faster you turn the wheel, the faster the car rotates. How far from the center of the car are you
sitting if your car makes one revolution every 5 seconds and your linear speed is 4 feet per second? Express your
answer in feet. Round your answer to 2 decimal places.
feet
TIP
Enter your answer as an integer or decimal number. Examples: 3, -4, 5.5172
Enter DNE for Does Not Exist, oo for Infinity
Airport station B is 335 miles from airport station A on a bearing of S380��. The pilot needs to fly from A to B, but to avoid the storm, he must first fly due east at a speed of 215 mph for an hour, and then from this point, he will turn to fly to B. Find the distance and the bearing that the pilot must fly to airport station B. Give your answer to the nearest mile and nearest degree.
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