A moving roller coaster speeds up with constant acceleration for 2.3s until it reaches a velocity of 35m/s. During this time, th
e roller coaster travels 41m. We want to find the initial velocity of the roller coaster before it starts to accelerate. Which kinematic formula would be most useful to solve for the target unknown?
1 answer:
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Answer:
a = 129.663
Explanation:
We know that:
T = Ia
Where T is the torque, I is the moment of inertia and a is the angular aceleration:
First, we will find the moment of inertia using the following equation:
I =
Where M is the mass and R is the radius of the disk. Replacing values, we get:
I =
I = 0.904 kg*m^2
Second, we will find the torque using the following equation:
T = ()*(R)
Where is the force on one side and
is the force on the other side. Replacing values, we get:
T = (162N-63N)(1.184m)
T = 117.216N*m
Finally, we replace T and I on the initial equation as:
T = Ia
117.216N = (0.904)(a)
Solving for a:
a = 129.663
Answer:
The intensity level of sound 2 is 93.3\ W/m².
Explanation:
Given that,
Intensity of sound 1 = 45.0 W/m²
Intensity level of sound 2 = 3.2 dB
We need to calculate the intensity
Using equation of the sound level intensity
The intensity of sound 2 is greater than 3.2 dB.
Therefore,
Calculate the intensity of sound 2
Hence, The intensity level of sound 2 is 93.3\ W/m².