3 represented, the worm W, located at rw = 1.5 m and 0w = rad, is crawling at a speed of 0.01 m/s, which Ow increases at a rate of 0.001 m/s², outwards over the windpump's blade. The rotor (with the blades) of the windpump, which is coinciding with the xy-plane at the given instant, is turning at a constant angular velocity of 30 rev/min (in the positive 0- direction). For the instant 2 1) For the given instant, determine (in Cartesian coordinates): a) the acceleration of point A on the rotor blade which is located at r = 2 m and ¾Ã = 3 A b) the velocity of the worm. c) the acceleration of the worm. π rad.
3 represented, the worm W, located at rw = 1.5 m and 0w = rad, is crawling at a speed of 0.01 m/s, which Ow increases at a rate of 0.001 m/s², outwards over the windpump's blade. The rotor (with the blades) of the windpump, which is coinciding with the xy-plane at the given instant, is turning at a constant angular velocity of 30 rev/min (in the positive 0- direction). For the instant 2 1) For the given instant, determine (in Cartesian coordinates): a) the acceleration of point A on the rotor blade which is located at r = 2 m and ¾Ã = 3 A b) the velocity of the worm. c) the acceleration of the worm. π rad.
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![Problem 10
3
For the instant represented, the worm W, located at rw = 1.5 m
and 0w = rad, is crawling at a speed of 0.01 m/s, which
increases at a rate of 0.001 m/s², outwards over the windpump's
blade. The rotor (with the blades) of the windpump, which is
coinciding with the xy-plane at the given instant, is turning at a
constant angular velocity of 30 rev/min (in the positive 0-
direction).
1) For the given instant, determine (in Cartesian coordinates):
a) the acceleration of point A on the rotor blade which is
3
located at rA = 2 m and A == π
2
b) the velocity of the worm.
c) the acceleration of the worm.
[above: Question in Tutorial Test 5 - 2019
(Relative acceleration question simplified for this tut)]
1)
2) Find the time rate of change of the worm's speed relative to
a fixed coordinate system.
ANSWERS:
rad.
a) a = {19.74j} m/s²
b) vw = {-4.09i - 2.35j} m/s
c) aw = {7.35i-12.85j} m/s²
2) = 0.0314 m/s²
B
20
-x / Polar axis.
Pencil sketches: Windmill by Craig Cassell; Bird by Andrei Nicolescu](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F69160b11-5cda-46b3-b5ef-dbe50f1f3a8e%2F249df4d5-fd9f-4c74-90ee-43945d84f1d7%2Frhn4ec_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Problem 10
3
For the instant represented, the worm W, located at rw = 1.5 m
and 0w = rad, is crawling at a speed of 0.01 m/s, which
increases at a rate of 0.001 m/s², outwards over the windpump's
blade. The rotor (with the blades) of the windpump, which is
coinciding with the xy-plane at the given instant, is turning at a
constant angular velocity of 30 rev/min (in the positive 0-
direction).
1) For the given instant, determine (in Cartesian coordinates):
a) the acceleration of point A on the rotor blade which is
3
located at rA = 2 m and A == π
2
b) the velocity of the worm.
c) the acceleration of the worm.
[above: Question in Tutorial Test 5 - 2019
(Relative acceleration question simplified for this tut)]
1)
2) Find the time rate of change of the worm's speed relative to
a fixed coordinate system.
ANSWERS:
rad.
a) a = {19.74j} m/s²
b) vw = {-4.09i - 2.35j} m/s
c) aw = {7.35i-12.85j} m/s²
2) = 0.0314 m/s²
B
20
-x / Polar axis.
Pencil sketches: Windmill by Craig Cassell; Bird by Andrei Nicolescu
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