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mybrohshi5
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Hanging box -- radius, length, mass, speed
You are riding in a school bus. As the bus rounds a flat curve at constant speed, a lunch box with a mass of 0.490 kg suspended from the ceiling of the bus by a string of length 1.79 m is found to hang at rest relative to the bus when the string makes an angle of 28.0^\circ with the vertical. The point (on the ceiling of the school bus) to which the string is tied is traveling in a circle of radius 48.16 m.
The lunch box is also traveling in a circular path; what is the radius of the circle in which the lunch box is traveling?
n/a
I drew a little sketch.
a horizontal line (bus roof)
a vertical line starting in the middle of the horz line that goes down 1.79 m
then i drew a line at bottom of the vertical line to the right and labeled that (x)
i made a hypotenuse line that goes from the starting point on the vertical line to the end on the x line.
This made a right triangle. If the degree between the horizontal and the string is 28 degrees then the angle that is down by the 90 degree angle should be 28 degrees as well correct?
so to solve for x i did
Tan(28) = 1.79/x
x = 3.36m
i believe this will be the radius of the circle it is making but I am not sure.
Can anyone let me know if this is correct please :)
Thank you
Homework Statement
You are riding in a school bus. As the bus rounds a flat curve at constant speed, a lunch box with a mass of 0.490 kg suspended from the ceiling of the bus by a string of length 1.79 m is found to hang at rest relative to the bus when the string makes an angle of 28.0^\circ with the vertical. The point (on the ceiling of the school bus) to which the string is tied is traveling in a circle of radius 48.16 m.
The lunch box is also traveling in a circular path; what is the radius of the circle in which the lunch box is traveling?
Homework Equations
n/a
The Attempt at a Solution
I drew a little sketch.
a horizontal line (bus roof)
a vertical line starting in the middle of the horz line that goes down 1.79 m
then i drew a line at bottom of the vertical line to the right and labeled that (x)
i made a hypotenuse line that goes from the starting point on the vertical line to the end on the x line.
This made a right triangle. If the degree between the horizontal and the string is 28 degrees then the angle that is down by the 90 degree angle should be 28 degrees as well correct?
so to solve for x i did
Tan(28) = 1.79/x
x = 3.36m
i believe this will be the radius of the circle it is making but I am not sure.
Can anyone let me know if this is correct please :)
Thank you