Pg 143
1) What is meant by tangential speed?
Tangential speed is the linear speed when travelling in a circular motion, so it has the same unit as linear speed, m/s.
2) Distinguish between tangential speed and rotational speed.
Tangential speed is the linear speed that is tangent to the circular motion. However rotational speed is computed through the amount of rounds it takes in a certain amount of time. So it will stay the same even if the circle is larger as long as it takes the same time, but tangential speed is affect by the circumference of the circle.
3) What is the relationship between tangential speed and distance from the center of the rotational axis? Give an example.
The larger the distance the further the distance from the center of the rotational axis, which means it is directly proportional. The further the distance from the center, if the rotational speed is same, then the tangential speed is faster, because the larger the diameter the longer the circumference, and that means it needs to travel faster to complete a round in the same amount of time.
Page 146
1) The rotational speed will remain the same, because even if he is half way near the axis, he still completes a round as fast as his friends. However the tangential speed will be slower because he is nearer to the axis, which means his distance will be shorter, so he requires lower speed to complete the round as fast as his friends.
3) The rotational speed of the small one will be faster. The tangential speed will remain the same otherwise the belt will slip, so it must be same. The rotational speed will be different because one circle is bigger.
1) What is meant by tangential speed?
Tangential speed is the linear speed when travelling in a circular motion, so it has the same unit as linear speed, m/s.
2) Distinguish between tangential speed and rotational speed.
Tangential speed is the linear speed that is tangent to the circular motion. However rotational speed is computed through the amount of rounds it takes in a certain amount of time. So it will stay the same even if the circle is larger as long as it takes the same time, but tangential speed is affect by the circumference of the circle.
3) What is the relationship between tangential speed and distance from the center of the rotational axis? Give an example.
The larger the distance the further the distance from the center of the rotational axis, which means it is directly proportional. The further the distance from the center, if the rotational speed is same, then the tangential speed is faster, because the larger the diameter the longer the circumference, and that means it needs to travel faster to complete a round in the same amount of time.
Page 146
1) The rotational speed will remain the same, because even if he is half way near the axis, he still completes a round as fast as his friends. However the tangential speed will be slower because he is nearer to the axis, which means his distance will be shorter, so he requires lower speed to complete the round as fast as his friends.
3) The rotational speed of the small one will be faster. The tangential speed will remain the same otherwise the belt will slip, so it must be same. The rotational speed will be different because one circle is bigger.