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Cards (12)
What is the term for the acceleration experienced by an object moving in a circular path at constant speed?
Centripetal acceleration
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Why does an object moving in a circular path at constant speed experience acceleration?
Because its
velocity
is constantly
changing
due to a change in direction
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According to Newton's first law, what must an object experience to
accelerate
?
A
resultant force
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What is the direction of the centripetal force acting on an object in circular motion?
Towards the
center
of the
circle
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How is
angular speed
(w) defined?
It is the
angle
an object
moves through per unit time
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How can angular speed (w) be calculated using linear speed (v) and radius (r)?
By dividing the
linear
speed (v) by the
radius
(r)
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What is the relationship between the angle in radians and the time period (T) of an object in circular motion?
Angular speed can also be found by dividing the angle in
radians
by the
time period
(T)
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What is the definition of one radian?
It is the angle in a sector of a
circle
when the
arc length
is equal to the radius of the circle
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How can you convert an angle from
degrees
to
radians
?
By
multiplying
by
π
180
\frac{\pi}{180}
180
π
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How can you convert an angle from radians to degrees?
By
multiplying
by
180
π
\frac{180}{\pi}
π
180
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What is the relationship between arc length and the angle in radians for a complete circle?
The
arc length
of a complete circle is
2
π
r
2\pi r
2
π
r
The
angle
in
radians
for a full circle is
2
π
2\pi
2
π
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What are the key concepts related to circular motion and angular speed?
Circular motion involves
constant
speed but changing
velocity
Centripetal
acceleration
is necessary for circular motion
Centripetal force acts towards the
center
of the circle
Angular speed can be calculated using
linear
speed and
radius
Angles can be measured in
radians
, with conversion formulas to and from
degrees
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