chapter 7.3
DESCRIPTION
Chapter 7.3. Circular Motion. Uniform Circular Motion. Motion at constant speed in a circle. v 1. D r. v 2. r 1. r 1. r 2. r 2. v 1. D v. v 2. D r D v r v. =. \. D r D v r D t v D t. =. D r/ D t = v D v/ D t = a. \. v a r v. =. \. v 2 - PowerPoint PPT PresentationTRANSCRIPT
Chapter 7.3Circular Motion
Uniform Circular Motion•Motion at constant speed in a circle
r1r1 r2 r2
v1
v2
v1
v2
r
v
r v r v
=
r v rt vt
=
v a r v
=
r/t = v v/t = a
ac = v2
r
Centripetal Acceleration (ac)
•Acceleration towards the center of a circle in uniform circular motion
ac = 42r
T2
Centripetal Force (Fc)
•The force that causes centripetal acceleration
Fc = mv2
r
Fc = m42r T2
A 5.0 kg ball is attached to the end of a 2.0 m string and swung at 4
revolutions per second. Calculate: ac & Fc
Drill: A 25 g ball is attached to the end of a
500.0 cm string and swung at 5.0 revolutions
per second.Calculate: ac & Fc
The NASA space station spins with a diameter of 100.0 m. Calculate the
period required to create an ac of 9.8 m/s2:
Calculate the speed a roller coaster must achieve to spin in a vertical circle with a diameter of 10.0 m:
A 2.5 kg ball is attached to the end of a 125 cm string and swung at 2.0 revolutions per second. Calculate: ac, vball, & Fc
A 50.0 kg box slides down an 250 m inclined plane
that is 37o from horizontal with an acceleration of 2.5 m/s2. Calculate F||, F, Fnet, Ff, vf, & on the incline and a & dH on the flat.
An arrow is fired at 50.0 m/s at 53o from
horizontal. Calculate:dH & dV at 1.0 s, 2.0 s, 3.0 s, & max dH & dV
A 10.0 g box slides down an 25 cm inclined plane ( = 0.20) that is
45o from horizontal. Calculate F||, F, FN, Ff,
Fnet, a, & vf on the incline.
Test Review
A ball thrown at 15 m/s from a 490 m tower.
Calculate: vV, dV & dH at 1.0 s, 2.0 s, 3.0 s, & maximum vV & dH
Drill: A bullet is fired horizontally at 750 m/s from a height of 4.9 m.
Calculate:tair, dH, & maximum vV
A ball is thrown from the ground at 20.0 m/s at an
angle of 53o from horizontal. Calculate:
tup, dVup, tair, & dH
A 40.0 g ball is traveling in a circular path with a diameter
of 10.0 cm at 25 cm/s. Calculate: ac & Fc
A 2500 kg carosel with a diameter of 20.0 m
spins at 6.0 revolutions per minute. Calculate:
ac & Fc