CALC The balance wheel of a watch vibrates with an angular amplitude Θ. angular frequency ω , and phase angle ϕ = 0. (a) Find expressions for the angular velocity dθ/dt and angular acceleration d 2 θ / dt 2 as functions of time. (b) Find the balance wheel’s angular velocity and angular acceleration when its angular displacement is Θ, and when its angular displacement is Θ/2 and θ is decreasing. ( Hint: Sketch a graph of θ versus t .)
CALC The balance wheel of a watch vibrates with an angular amplitude Θ. angular frequency ω , and phase angle ϕ = 0. (a) Find expressions for the angular velocity dθ/dt and angular acceleration d 2 θ / dt 2 as functions of time. (b) Find the balance wheel’s angular velocity and angular acceleration when its angular displacement is Θ, and when its angular displacement is Θ/2 and θ is decreasing. ( Hint: Sketch a graph of θ versus t .)
CALC The balance wheel of a watch vibrates with an angular amplitude Θ. angular frequency ω, and phase angle ϕ = 0. (a) Find expressions for the angular velocitydθ/dt and angular accelerationd2θ/dt2 as functions of time. (b) Find the balance wheel’s angular velocity and angular acceleration when its angular displacement is Θ, and when its angular displacement is Θ/2 and θ is decreasing. (Hint: Sketch a graph of θ versus t.)
Definition Definition Rate of change of angular velocity. Angular acceleration indicates how fast the angular velocity changes over time. It is a vector quantity and has both magnitude and direction. Magnitude is represented by the length of the vector and direction is represented by the right-hand thumb rule. An angular acceleration vector will be always perpendicular to the plane of rotation. Angular acceleration is generally denoted by the Greek letter α and its SI unit is rad/s 2 .
A. p
b. 5pts Vector Bx Vector C
3. An electric fan was switched to speed #1 & attained a rotation of 1250rpm in 0.7s from
standstill. Then, switched again to speed #3. The fan blades stabilizes to 1720rpm in 0.2
Determine the 1 angular acceleration (in rad/s).
Determine the 2 angular acceleration (in rad/s).
b.
4. Plahers A, B, and C has a mass of 6 10 kg. 7 10 kg. 5 10 kg correspondingly
Distance between A & B: 1,200,000km. Distance between B & C: 2,000,000lkm
Distance between A & C: 3,200,000km.
Calculate the force that exist between A &B (in N).
Calculate the force that exist between B&C (in N).
Calculate the force that exist between A & C (in N).
a.
b.
C.
The circular blade of a table saw spins at 3600 rpm (revolution per minute). What is its frequency, in
Hertz?
Your answer needs to have 2 significant figures, including the negative sign in your answer if needed. Do not
include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the
question statement.
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+ Assignment1-PHYS360
Assignmentl PHYS360
Problem 1:
A particle undergoes simple harmonic motion with a frequency of fo = 10 Hz. At i = 0 ; the
position of the particle is x(0) = 0.25 m, and the velocity of the particle is v(0) = 0.1 m/s
a- Calculate the angular frequency of the oscillation (w, - ??)
b- Find the amplitude of the oscillation (A = ??)
c- Determine the phase f from the initial conditions (f=??)
d- Find the displacement x at any time t. (x(t) = ??)
Problem2:
An automobile suspension system is critically damped, and its period of free oscillation with no
damping is 1 s. If the system is initially displaced by an amount and released with zero initial
velocity (at t= 0; x(0) =x, and v(0) = 0)
a- Determine the value of the angular frequency of free oscillation with no damping. (W.
= ??)
b- Deduce the value of friction factor (g -??)
c- Write the expression of position as a function of time of the system, if the system is critically
damped. (x() = ??)
d-…
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