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hi, i have 5 questions i need the complete solutions with their final results. i

ID: 1682397 • Letter: H

Question

hi,

i have 5 questions i need the

complete solutions with their final results. is there anyone couldhelp

me, i would appreciate that.



1)

Consider a point on a bicycle wheel as the wheel turns about afixed axis, neither speeding up nor slowing down. Compare thelinear and angular velocities of the point.

2)
A point on the rim of a 0.25-m-radius rotating wheel has acentripetal acceleration of 4.0 m/s2. What is the angular speed ofthe wheel?

3)
A point on the rim of a 0.15-m-radius rotating disk has acentripetal acceleration of 5.0 m/s2. What is the angular speed ofa point 0.075 m from the center of the disk?


4)
A 0.150-m-radius grinding wheel, starting at rest, develops anangular speed of 12.0 rad/s in a time interval of 4.00 s. What isthe centripetal acceleration of a point 0.100 m from the centerwhen the wheel is moving at an angular speed of 12.0 rad/s?


5)

What centripetal force does an 80-kg passenger experience whenseated 12 m from the center of a Ferris wheel whose angular speedis 0.50 rad/s?






thank you in advance

Explanation / Answer

2)
radius R = 0.25 m centripetal acceleration a = 4.0 m/s2 we know   a = R 2 from this angular velocity of the wheel = [ a / R ]                                                              = 4 rad / s we know   a = R 2 from this angular velocity of the wheel = [ a / R ]                                                              = 4 rad / s