Average acceleration is how much the car increases (on average) per second. So, since it increases by 30 m/s in 8 s, then dividing 30 by 8 will give you an average acceleration of 3.75 m/s^2 (remember that acceleration is ever increasing, so the unit is s^2, not just s)
Hope this helps!
The Earth's natural climate cycle
Over the last 800,000 years, there have been natural cycles in the Earth's climate. There have been ice ages and warmer interglacial periods. After the last ice age 20,000 years ago, average global temperature rose by about 3°C to 8°C, over a period of about 10,000 years.
Answer:
si es posible
Explanation:
ya no existiria la tierra
if possible
the earth would no longer exist.
Answer: a) 24.2 rad/s² b) 6.95 rad/s
Explanation:
So the cylinder's moment of inertia is
, where M is the mass of the cylinder and R is its radius.
The problem you have here is that the axle is modifying it, so we use the parallel axis theorem:
Therefore
where D is the distance from the center of mass to the axis which is a radius R
Next the Momentum with respect to the center of mass of the cylinder is
because there are no other forces rather than the cylinder's weight, now
kg*m^2
a ) replace and find ![\alpha = (m*g*R)/(I )](https://tex.z-dn.net/?f=%5Calpha%20%3D%20%28m%2Ag%2AR%29%2F%28I%20%29%20)
![\alpha = (5.0*9.8*0.27)/(0.54675 ) = 24.2 rad/s^2](https://tex.z-dn.net/?f=%5Calpha%20%3D%20%285.0%2A9.8%2A0.27%29%2F%280.54675%20%29%20%3D%2024.2%20rad%2Fs%5E2)
b) we start by assuming that the energy is conserved because the cylinder is rolling without sliding:
so the potential energy is given by ![E = M*g*R = 5*9.8*0.27 = 13.23J](https://tex.z-dn.net/?f=E%20%3D%20M%2Ag%2AR%20%3D%205%2A9.8%2A0.27%20%3D%2013.23J)
now you have that the same amount is going to be equal to the kinetic rotational energy of the cylinder so ![13.23J = \frac{I*\omega^2}{2} => \omega = \sqrt(\frac{2*13.23J}{0.54675} ) = 6.95 rad/s](https://tex.z-dn.net/?f=13.23J%20%3D%20%5Cfrac%7BI%2A%5Comega%5E2%7D%7B2%7D%20%20%3D%3E%20%5Comega%20%3D%20%5Csqrt%28%5Cfrac%7B2%2A13.23J%7D%7B0.54675%7D%20%29%20%3D%206.95%20rad%2Fs)
acceleration = velocity/time
Hope This Helps!