Question 4 can be solved by substituting values into the equation:
This can then be rearranged to give the answers.
4a. 40*V1 = 10*V2. The second gear will move with four times the velocity of the first gear.
b. V1*20 = V2*40. The second gear will move with half the velocity of the first gear.
c. V1 = V2. Both gears will move with the same velocity.
5a. A bicycle is a distance multiplier as the peddles do not move the same distance as the wheels. Instead, a greater force is required to peddle than to move the wheels themselves, resulting a larger distance travelled by the wheels than the peddles.
W = F * d
As one variable decreases, the other must increase to conserve energy.
bi. F is smaller so d must be greater, so that the value of W is still the same. Force multipliers require a lower effort force to be exerted across a greater distance in order to move a load with a greater force than the effort force.
ii. d is smaller so F must be greater, so that the value of W is the same. Distance multipliers require a greater effort force to be exerted across a smaller distance in order to move a load across a longer distance.
Hope this helped. Please let me know if you have any further questions.
Question 4 can be solved by substituting values into the equation:
This can then be rearranged to give the answers.
4a. 40*V1 = 10*V2. The second gear will move with four times the velocity of the first gear.
b. V1*20 = V2*40. The second gear will move with half the velocity of the first gear.
c. V1 = V2. Both gears will move with the same velocity.
5a. A bicycle is a distance multiplier as the peddles do not move the same distance as the wheels. Instead, a greater force is required to peddle than to move the wheels themselves, resulting a larger distance travelled by the wheels than the peddles.
W = F * d
As one variable decreases, the other must increase to conserve energy.
bi. F is smaller so d must be greater, so that the value of W is still the same. Force multipliers require a lower effort force to be exerted across a greater distance in order to move a load with a greater force than the effort force.
ii. d is smaller so F must be greater, so that the value of W is the same. Distance multipliers require a greater effort force to be exerted across a smaller distance in order to move a load across a longer distance.
Hope this helped. Please let me know if you have any further questions.