Answer:
Angle turn pulley is 113 rad
Explanation:
given data
angular speed w = 12.5 rad/s
angular acceleration a 3.41 rad/s²
time t = 5.26 s
to find out
what angle does the pulley turn
solution
we get here angle by this equation that is here
angle turn = w × t + 0.5 × a × t² ......................1
put here value we get
angle turn = w × t + 0.5 × a × t²
angle turn = 12.5 × 5.26 + 0.5 × 3.41 × 5.26²
Angle turn = 65.75 + 47.17
Angle turn = 112.92 rad = 113 rad
Answer:
14 m/s
Explanation:
Using the principle of conservation of energy, the potential energy is converted to kinetic energy, assuming any losses.
Kinetic energy is given by ½mv²
Potential energy is given by mgh
Where m is the mass, v is the velocity, g is acceleration due to gravity and h is the height.
Equating kinetic energy to be equal to potential energy then
½mv²=mgh
V
Making v the subject of the formula
v=√(2gh)
Substituting 9.81 m/s² for g and 10 m for h then
v=√(2*9.81*10)=14.0071410359145 m/s
Rounding off, v is approximately 14 m/s
Answer:
Explanation:
The elastic potential energy of a spring is given by 
, where 
is the spring constant of the spring and 
is displacement from point of equilibrium.
When released, this potential energy will be converted into kinetic energy. Kinetic energy is given by 
, where 
is the mass of the object and 
is the object's velocity.
Thus, we have:
Substituting given values, we get:
Answer:
Vf = 69.56 cm/s
Explanation:
In order to find the final speed of the ramp, we will use the equations of motion. First we use second equation of motion to find out the acceleration of marble:
s = Vi t + (1/2)at²
where,
s = distance traveled = 160 cm
Vi = Initial Speed = 0 cm/s (since, marble starts from rest)
t = time interval = 4.6 s
a = acceleration = ?
Therefore,
160 cm = (0 cm/s)(4.6 s) + (1/2)(a)(4.6 s)²
a = (320 cm)/(4.6 s)²
a = 15.12 cm/s²
Now, we use first equation of motion:
Vf = Vi + at
Vf = 0 cm/s + (15.12 cm/s²)(4.6 s)
<u>Vf = 69.56 cm/s</u>
Explanation:
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