I think pulley, leaver, and screws
Answer:
The frequency will decrease by a factor of square root of 2 (<em>ω = √(2 (g / L))</em>.
Explanation:
A simple pendulum consists of a mass m hanging from a string of length L and fixed at a pivot point P. When displaced to an initial angle and released, the pendulum will swing back and forth with periodic motion. By applying Newton's second law for rotational systems, the equation of motion for the pendulum may be obtained
τ = I α ⇒ - mg sin(θ) L = mL² (d²θ/dt²)
where
- τ is torque
- I is the moment of inertia
- α is the angular frequency
- g is the acceleration due to gravity
- L is the length of the string
- m is the mass of the ball
The above expression can be rearranged as
(d²θ/dt²) + g / L (sin(θ)) = 0
If the amplitude of angular displacement is small enough that the small angle approximation () holds true, then the equation of motion reduces to the equation of simple harmonic motion
(d²θ/dt²) + g / L (θ) = 0
The simple harmonic solution is
θ(t) = θ₀ cos(ωt + Ф)
where
- ω is the frequency of the pendulum
- Ф is the phase angle
The frequency is expressed as
ω = √(g / L)
If the pendulum is pulled from equilibrium by 2 times theta, The simple harmonic solution will be
θ(t) = θ₀ cos(2 ωt + Ф)
and therefore,<em> the frequency will be</em>
<em>ω = √(2 (g / L))</em>
Answer:
If an object is moving with a constant velocity, then by definition it has zero acceleration. So there is no net force acting on the object. The total work done on the object is thus 0 (that's not to say that there isn't work done by individual forces on the object, but the sum is 0 ).
Explanation:
In the middle, when the object was changing position at a constant velocity, the acceleration was 0. This is because the object is no longer changing its velocity and is moving at a constant rate.
Answer:
The number of people attending the events people
Explanation:
Generally total sound intensity is given as
Where
is the total sound intensity
is the signal level from each single source
n is the number of source
Substituting the given value
97 = 43.2 + 10log(n)
53.8 = 10log(n)
log(n) = 5.38
Raising both sides to the power of 10
Note [ ]
=>
Answer:
D
Explanation:
Speed = distance / time
her time for the first journey = 20 miles / 60 miles/hr = 1/3 hr
her time for second part of the journey = her remaining distance / her speed = (80 - 20) miles / 30 miles/hr = 60 miles / 30 miles/hr = 2 hrs
total time spend by her = 2 hr+ 1/3 hr = 2 1/3 hrs
her traveling the distance at 40 miles per hour = 80 miles / 40 miles /hr = 2 hrs
the time less she would drive if she drive the entire distance at 40 miles/hr = 2 1/3 hrs - 2 hrs = 1/3 hr