Answer:
a) ω1 = 18rpm ω2 = -18rpm
b) ω1 = 102rpm ω2 = 138rpm
c) ω1 = ω2 = 3.18rpm
Explanation:
For the first case, we know that each wheel will spin in a different direction but with the same magnitude, so:
ωr = 6rpm This is the angular velocity of the robot
where D is 30cm and rwheel is 5cm
One velocity will be positive and the other will be negative:
ω1 = 18rpm ω2 = -18rpm
For part b, the formula is the same but distances change. Rcircle=100cm:
Replacing values, we get:
For part c, both wheels must have the same velocity:
The car's average speed during that time is (23.7/2) = 11.85 m/s .
Distance = (11.85 m/s) x (6.5 sec) = 77.025 meters .
Answer:
I will assume that “maximum force” implies the constant application of power P = 400 hp (international) to accelerating the vehicle. The force will therefore vary with speed as the vehicle accelerates. I will also assume that all engine energy goes into accelerating the vehicle, rather than rotating elements like its wheels.
In this case the 400 hp (equivalent to 298,280 watts) is applied for time t = 2 seconds. Therefore the kinetic energy of the vehicle is increased by:
ΔKE=Pt=(298,280)(2)=596,560 joules.
The initial kinetic energy is:
KEinitial=12mv2
=(0.5)(1600)(82)=51,200 joules.
Therefore final kinetic energy is:
KEfinal=KEinitial+ΔKE
=51,200+596,560
=647,760 joules
Therefore final vehicle velocity can be found:
KEfinal=12mv2
v=2KEfinalm−−−−−−−−√
=(2)(647,760)1600−−−−−−−−−−−√
= 28.455 m/s
Explanation:
Answer:
Decreasing in altitude and increasing in velocity
Explanation:
The formula for potential energy is:
where m is mass, g is constant gravitational energy and h is the potential altitude.
The formula for kinetic energy is:
where v is the velocity
Since m,g are constant, to convert from potential energy to kinetic energy, h must decreases while v increases. For example dropping an object from a height.
I definitely agree with choise that you consider to be as a correct one. I am pretty sure that prganism is correct because this is a unit which ebrases all the mentioned points. And in simple words, the rest of options represent collective objects but you have to answer with sole one. Hope you find it helpful.
