The angle an airplane propeller makes with the horizontal as a function of time is given by θ = (125rad/s) t + (42.5rad/s 2 ) t 2 . (a) Estimate the instantaneous angular velocity at t = 0.00 by calculating the average angular velocity from t = 0.00 to t = 0.010s. (b) Estimate the instantaneous angular velocity at t = 1.000 s by calculating the average angular velocity from t = 1.000 s to t = 1.010 s. (c) Estimate the instantaneous angular velocity at t = 2.000 s by calculating the average angular velocity from t = 2.000s to t = 2.010s. (d) Based on your results from parts (a), (b), and (c), is the angular acceleration of the propeller positive, negative or zero? Explain, (e) Calculate the average angular acceleration from t = 0.00 to t = 1.00s and from t = 1.00s to t = 2.00 s.
The angle an airplane propeller makes with the horizontal as a function of time is given by θ = (125rad/s) t + (42.5rad/s 2 ) t 2 . (a) Estimate the instantaneous angular velocity at t = 0.00 by calculating the average angular velocity from t = 0.00 to t = 0.010s. (b) Estimate the instantaneous angular velocity at t = 1.000 s by calculating the average angular velocity from t = 1.000 s to t = 1.010 s. (c) Estimate the instantaneous angular velocity at t = 2.000 s by calculating the average angular velocity from t = 2.000s to t = 2.010s. (d) Based on your results from parts (a), (b), and (c), is the angular acceleration of the propeller positive, negative or zero? Explain, (e) Calculate the average angular acceleration from t = 0.00 to t = 1.00s and from t = 1.00s to t = 2.00 s.
The angle an airplane propeller makes with the horizontal as a function of time is given by θ = (125rad/s)t + (42.5rad/s2)t2. (a) Estimate the instantaneous angular velocity at t = 0.00 by calculating the average angular velocity from t = 0.00 to t = 0.010s. (b) Estimate the instantaneous angular velocity at t = 1.000 s by calculating the average angular velocity from t = 1.000 s to t = 1.010 s. (c) Estimate the instantaneous angular velocity at t = 2.000 s by calculating the average angular velocity from t = 2.000s to t = 2.010s. (d) Based on your results from parts (a), (b), and (c), is the angular acceleration of the propeller positive, negative or zero? Explain, (e) Calculate the average angular acceleration from t = 0.00 to t = 1.00s and from t = 1.00s to t = 2.00 s.
Definition Definition Angle at which a point rotates around a specific axis or center in a given direction. Angular displacement is a vector quantity and has both magnitude and direction. The angle built by an object from its rest point to endpoint created by rotational motion is known as angular displacement. Angular displacement is denoted by θ, and the S.I. unit of angular displacement is radian or rad.
In order for Jane to return to base camp, she needs to swing across a river of width D that is filled with alligators. She must swing into a wind exerting constant horizontal force F,
F = 110 N, L = 40.0 m, 0 = 50.0°, and her mass to be 50.0 kg.
Wind
→F
Tarzan!
Jane
(a) with what minimum speed (in m/s) must Jane begin her swing to just make it to the other side? (If Jane can make it across with zero initial velocity, enter 0.)
m/s
on a vine having length L and initially making an angle with the vertical (see below figure). Take D = 48.0 m,
(b) Shortly after Jane's arrival, Tarzan and Jane decide to swing back across the river (simultaneously). With what minimum speed (in m/s) must they begin their swing? Assume that Tarzan has a mass of 80.0 kg.
m/s
R=2.00
12V
2.00
4.00
4.002
What is the current in one of the 4.0 Q resistors?
An isolated point charge q is located at point X. Two other points Y and Z are such
that YZ2 XY.
Y
X
What is (electric field at Y)/(electric field at Z)?
Two objects (m₁ = 4.75 kg and m₂
2.80 kg) are connected by a light string passing over a light, frictionless pulley as in the figure below. The 4.75-kg object is released from rest at a point h = 4.00 m above the table
mg
m
(a) Determine the speed of each object when the two pass each other.
m/s
(b) Determine the speed of each object at the moment the 4.75-kg object hits the table.
m/s
(c) How much higher does the 2.80-kg object travel after the 4.75-kg object hits the table?
m
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