Advanced Math 4A-0to1b Revie… · Title: Advanced Math Author: Scotus Central Catholic Created...
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Advanced Math Review 4A-0 to 4A-1b
Transcript of Advanced Math 4A-0to1b Revie… · Title: Advanced Math Author: Scotus Central Catholic Created...
Advanced Math
Review 4A-0 to 4A-1b
Angles, Radians, Velocity
Angles, Radians, Velocity
Change 5π/3 rad to degrees
Angles, Radians, Velocity
300°
Angles, Radians, Velocity
Change 55°10’20” to decimal degrees.
Angles, Radians, Velocity
≈ 55.172°
Angles, Radians, Velocity
Change 28.254° to degrees,
minutes, and seconds.
Angles, Radians, Velocity
28°15’14.4”
Angles, Radians, Velocity
What is a radian?
Angles, Radians, Velocity
An angle measure such that the arc
struck off by a central angle is equal in
length to the radius of the circle.
Angles, Radians, Velocity
How many radians in one revolution?
Angles, Radians, Velocity
2π
Angles, Radians, Velocity
Define velocity
Angles, Radians, Velocity
Distance per time unit. Linear velocity is a linear
distance (mi., cm, m., ft., etc.) divided by some
time unit. Angular velocity is an angle measure
(rad., rev., °) divided by some time unit.
Angles, Radians, Velocity
Here is a summary of formulas and
important conversion factors.
rωt
rθ
t
sV ,
t
θω θ,r
2
1A
rθs rad, 2πrev 1 ,180rad π
2
S
Angles, Radians, Velocity
Change 2 rpm to radians per second.
Angles, Radians, Velocity
π/15 ≈ 0.21 rad/s
Angles, Radians, Velocity
A gear makes 1.5 revolutions every 2
seconds. Find the angular velocity of a
point on the gear in radians per second.
Angles, Radians, Velocity
1.5π ≈ 4.7 rad/s
Angles, Radians, Velocity
Determine the linear velocity of a point on
a circle 1.4 m from the center that moves
through 450° in 1 minute. Express the
answer in cm/s and in terms of π.
Angles, Radians, Velocity
35π/6 ≈ 18.3 cm/s
Angles, Radians, Velocity
A car traveling at 100 kph has a wheel
radius of 30 cm. Find the rpm of the wheel.
Angles, Radians, Velocity
≈ 884 rpm
