# Physics

posted by .

A Ferris wheel (a vertical circle for the purposes of this question) with a radius 42.2 m is initially rotating at a constant rate, completing one revolution every 33.2 seconds. Suppose the Ferris wheel begins to decelerate at the rate of 0.0542 rad/s2.

[Note: If it helps you, for sake of definiteness, you may take the wheel to be rotating clockwiseÃ¢â‚¬¦ though this is immaterial.]

a) Find the magnitude of the passenger's acceleration at that instant in m/s2.

b) What is the angle between the passenger's velocity vector and acceleration vector at that instant (in degrees)?

• Physics -

centripetal acceleration is a(cen) = ω₀²R=0.19²•42.2=1.52 m/s²
tangential acceleration is a(tan) =ε•R =0.0542•42.2=0.12 m/s²
acceleration is a=sqrt{ a(cen)²+a(tan)²}= sqrt{1.52²+0.12²}=1.525
α=arctan(a(tan)/a(cen)} =4.51°
the angle between the passenger's velocity vector and acceleration vector =90+4.51 =94.51°

• Physics -

Thank you very much!

## Similar Questions

1. ### physics

A Ferris wheel with a radius of 9.61 m rotates at a constant rate, completing one revolution every 34.1 s. Calculate the magnitude of a passenger's acceleraton when at the top of the wheel.
2. ### Physics

Fairgoers ride a Ferris wheel with a radius of 5.00 {\rm m} . The wheel completes one revolution every 31.5 s What is the average speed of a rider on this Ferris wheel?
3. ### physics

A Ferris wheel with radius 8.8 m rotates at a constant rate, completing one revolution every 34.6 s. Suppose the Ferris wheel begins to decelerate at the rate of 0.212 rad/s2 when a passenger is at the top of the wheel. Find the magnitude …
4. ### Physics

A Ferris wheel with radius 9.8 m rotates at a constant rate, completing one revolution every 36.6 s. Suppose the Ferris wheel begins to decelerate at the rate of 0.227 rad/s2 when a passenger is at the top of the wheel. Find the magnitude …
5. ### Physics

A Ferris wheel with radius 9.8 m rotates at a constant rate, completing one revolution every 36.6 s. Suppose the Ferris wheel begins to decelerate at the rate of 0.227 rad/s2 when a passenger is at the top of the wheel. Find the magnitude …
6. ### Trigonometry

A carnival Ferris wheel with a radius of 7 m makes one complete revolution every 16 seconds. The bottom of the wheel is 1.5 m above the ground. The ride starts at the bottom. Find the sinusoidal function that models this Ferris wheel …
7. ### Physics

A Ferris wheel with radius 11.0 m rotates at a constant rate, completing one revolution every 33.9 s. Suppose the Ferris wheel begins to decelerate at the rate of 0.227 rad/s2 when a passenger is at the top of the wheel. Find the magnitude …
8. ### Physics

A particular Ferris wheel takes you through one complete revolution every 25.3 seconds. If the radius of the Ferris wheel is 10.4 m, and your mass is 63.3 kg, calculate: (a) Your apparent weight, in N, when you are at the top of the …
9. ### math trig

A Ferris wheel with a diameter of 37 meters rotates at a rate of 4 minutes per revolution. Riders board the Ferris wheel 4 meters above the ground at the bottom of the wheel. A couple boards the Ferris wheel and the ride starts. Write …
10. ### pre-calculus

A.) A Ferris wheel has a radius of 32 feet and completes one revolution every 5.4 minutes. What is the speed of the Ferris wheel (in radians per minute)?

More Similar Questions