Answer:
a_total = 2 √ (α² + w⁴)
, a_total = 2,236 m
Explanation:
The total acceleration of a body, if we use the Pythagorean theorem is
a_total² = a_T²2 +
²
where
the centripetal acceleration is
a_{c} = v² / r = w r²
tangential acceleration
a_T = dv / dt
angular and linear acceleration are related
a_T = α r
we substitute in the first equation
a_total = √ [(α r)² + (w r² )²]
a_total = 2 √ (α² + w⁴)
Let's find the angular velocity for t = 2 s if we start from rest wo = 0
w = w₀ + α t
w = 0 + 1.0 2
w = 2.0rad / s
we substitute
a_total = r √(1² + 2²) = r √5
a_total = r 2,236
In order to finish the calculation we need the radius to point A, suppose that this point is at a distance of r = 1 m
a_total = 2,236 m
Answer:
Approximately
assuming no heat exchange between the mixture and the surroundings.
Explanation:
Consider an object of specific heat capacity
and mass
. Increasing the temperature of this object by
would require
.
Look up the specific heat of water:
.
It is given that the mass of the water in this mixture is
.
Temperature change of the water:
.
Thus, the water in this mixture would have absorbed :
.
Thus, the energy that water absorbed was:
.
Assuming that there was no heat exchange between the mixture and its surroundings. The energy that the water in this mixture absorbed,
, would be the opposite of the energy that the metal in this mixture released.
Thus:
(negative because the metal in this mixture released energy rather than absorbing energy.)
Mass of the metal in this mixture:
.
Temperature change of the metal in this mixture:
.
Rearrange the equation
to obtain an expression for the specific heat capacity:
. The (average) specific heat capacity of the metal pieces in this mixture would be:
.
<span>its hard to turn cooked pancakes back into batter</span>
By using the Ohms law, we can calculate the current.
Ohms law,

Here, V is potential difference, and R is the resistance.
Given,
and
.
Therefore, putting the given values in above relation , we get

or
Thus, the current is drawn by a television 4 Ampere