A right triangle has a height of h and a hypotenuse of l. How do you calculate t

Question

A right triangle has a height of h and a hypotenuse of l. How do you calculate the angle opposite the height? A right triangle has a height, h, that is between (5-1)cm lessthanorequalto h lessthanorequalto (5 + 1)cm and a length, l, that is between (80 - 2)cm lessthanorequalto l lessthanorequalto (80 + 2) cm. What is the maximum possible angle opposite the height, theta_max What is the minimum possible angle opposite the height, theta_min From Lab 2 we know that the car slows down with acceleration, a_friction, when it rolls on a level track. If the track is tilted we will calculate that a car should roll down the track without friction with an acceleration of a_theory. However, when we actually roll the car down the tilted track, we measure a third acceleration, a_experiment Write an equation that combines these three accelerations into a meaningful relationship.

Explanation / Answer

Q2. sin(theta)=h/l

==>theta=arcsin(h/l)

Q3. theta=arcsin(h/l)

maximum theta will occur when h is maximum and l is minimum

h_max=6 cm

l_min=78 cm

so theta_max=4.4117 degrees

part b:

minimum theta will occur when h is minium and l is maximum

h_min=4 cm

l_max=82 cm

theta_min=2.796 degrees

Q4. when the car is rolling down with friction,

friction force is opposing the motion.

hence net acceleration=acceleration without friction-acceleration due to friction

==>a_experiment=a_theory-a_friction

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