I have solved the sum mentioned below using limits where I have considered (del theta) to be the determiner of the sign?

Question

since t is always positive when calculating average angular velocity. But using my method the mass of the rocket car cancels from both sides of the equation; but in the question the mass is given. What method can I use to solve the sum that incorporates the mass? Including a diagram for reference. Any help will be greatly appreciated. THANK YOU!
Q) In an amusement park rocket ride, cars are suspended from 4.25-m cables attached to the rotating arms at a distance of 6.00 m from the axis of rotation. The cables swing out at an angle of 45.0° when the ride is operating. Consider the mass of a rocket car is 75 kg.
a) Find centripetal force on the rocket.
b) What is the angular speed of rotation of the rocket?
c) Find the radial and tangential acceleration of the rocket.

oubaas · Answer

R = 6+x = (6+4.25/√2) = 9.00 m

ω^2*R = g
ω^2*9.00 = 9.806
ω^2 = 9.806/9 = 1.090

b) angular speed ω
ω = √1.090 = 1.044 rad/sec

a) centripetal force CF on the rocket
CF = m*ω^2*R = 75*1.090*9 = 735 N

c) radial (ar) and tangential (at) acceleration of the rocket
ar = ω^2*R = 1.090*9 = 9.806 m/sec^2 = g
at = 0 (constant ω)

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I have solved the sum mentioned below using limits where I have considered (del theta) to be the determiner of the sign?

1 Answer