UWPC Review 3: ch.16-20
[W 12 #4]Maria is running around a circular track. She runs clockwise and, from when she starts, it takesher 28 seconds to reach the southernmost point of the track. She takes 105 seconds to run each lapof the track.(a) From when she starts, how long does it take her to reach the easternmost point of the track?
(b) Bob starts running on the track at the same time as Maria. He starts from the northernmostpoint and runs counter-clockwise. He takes 130 seconds to run each lap of the track.Let R be the radius of the track. Using a coordinate systemwith the origin at the center of thetrack, find Bob’s x- and y-coordinates when he passes Maria for the first time (your answerwill involve R).
[W10 #5] You are designing a system of wheels and belts as pictured below. You want wheel A torotate 11 RPM while wheel B rotates 37 RPM. Wheel A has a radius of 6 inches, wheel Bhas a radius of 7 inches and wheel D has a radius of 4 inches. Assume wheels C and Dare rigidly fastened to the same axle. What is the radius r of wheel C?
[A 11 #2] Erika is measuring the height of a tree. She is standing on the ground at some distance fromthe tree and measures an angle of 63 degrees to the top of the tree. She walks 20 feet furtheraway from the tree and measures an angle of 50 degrees to the top of the tree (this is hersecond measurement).A year later she comes back to check on the tree and it has grown. She measures the anglefrom the same location as the second measurement from the year before and now gets an
angle of 52 degrees. How much taller is the tree?
[W 12 #5] The pressure inside Simone’s eyeball is a sinusoidal function of time. The pressure reaches aminimum of 1.8 kPa 4 hours after you begin measuring it. The pressure then increases, reaching
a maximum of 2.3 kPa 9 hours after you begin measuring it. (a) Create a sketch for the situation. (b) How long do you have to measure the pressure until you have observed it below 1.9 kPa for 5hours?
UWPC Review 3: ch.16-20
[W 12 #4]Maria is running around a circular track. She runs clockwise and, from when she starts, it takesher 28 seconds to reach the southernmost point of the track. She takes 105 seconds to run each lapof the track.(a) From when she starts, how long does it take her to reach the easternmost point of the track?
(b) Bob starts running on the track at the same time as Maria. He starts from the northernmostpoint and runs counter-clockwise. He takes 130 seconds to run each lap of the track.Let R be the radius of the track. Using a coordinate systemwith the origin at the center of thetrack, find Bob’s x- and y-coordinates when he passes Maria for the first time (your answerwill involve R).
[W 10 #5] You are designing a system of wheels and belts as pictured below. You want wheel A torotate 11 RPM while wheel B rotates 37 RPM. Wheel A has a radius of 6 inches, wheel Bhas a radius of 7 inches and wheel D has a radius of 4 inches. Assume wheels C and Dare rigidly fastened to the same axle. What is the radius r of wheel C?
[A 11 #2] Erika is measuring the height of a tree. She is standing on the ground at some distance fromthe tree and measures an angle of 63 degrees to the top of the tree. She walks 20 feet furtheraway from the tree and measures an angle of 50 degrees to the top of the tree (this is hersecond measurement).A year later she comes back to check on the tree and it has grown. She measures the anglefrom the same location as the second measurement from the year before and now gets an
angle of 52 degrees. How much taller is the tree?
[W 12 #5] The pressure inside Simone’s eyeball is a sinusoidal function of time. The pressure reaches aminimum of 1.8 kPa 4 hours after you begin measuring it. The pressure then increases, reaching
a maximum of 2.3 kPa 9 hours after you begin measuring it. (a) Create a sketch for the situation. (b) How long do you have to measure the pressure until you have observed it below 1.9 kPa for 5hours?