<span>Since the wheel start from rest. angular acceleration,
θ=1/2αt²
14=1/2α x 8.7²
α= 0.3699 rad/s²
moment of inertia of loop= mr²= 4.1x0.37=1.517 kgm²
torque=T= lα
T= 0.5611Nm= 0.56Nm to significant figure
Disc
moment of inertia of disc= 1/2mr²
Required torque value= 0.28Nm
So,
I= 1/2X 4.1X 0.37²= 0.280 Kgm²
T= Iα = 0.280 X 0.3699= 0.10 to two significant figure</span>
Answer:
a) 919 m
b) 183.8 m
Explanation:
140 calories = 140 * 4186 J/calorie = 586040 J
a)When the hiker climbs a mountain, this energy is converted to potential energy, which has the following formula

where m = 65 kg is the mass, g = 9.81 m/s2 is the gravitational acceleration and h is the height that he climbs


b) If only 20% of food energy goes into mechanical energy, then the actual potential energy is
586040 * 0.2 = 117208
Similarly, the height that he could climbs is

Answer:
How many decimal places did you use when you measured the mass of each square of aluminum? Which places were exact, and which were estimated? Three decimal places were used.Explanation:
To solve this we are going to use the formula for ideal mechanical advantage:

where

is the machine mechanical advantage

is the input distance

is the output distance
We know for our problem that

and

. Lets replace those values in our formula to find

:



The ideal machine advantage of the machine is 3. The inventor is claiming that the actual mechanical advantage of the machine is 4. Since the actual mechanical advantage takes into account energy losses, it is always less than the ideal mechanical advantage.
We can conclude that the developer's claim is false.