Let’s say you entered a wheel factor in inches rather than millimeters. How woul

Question

Let’s say you entered a wheel factor in inches rather than millimeters. How would this affect the reading on the speedometer? Given=diameter is 26inches. (wheel factor=pi x diameter (in mm))

The speedometer would tell you that you are moving faster than you are actually moving (by a factor of 25.4)

The reading would not be affected. The speedometer would give the rider a correct reading.

c. The speedometer would tell you that you are moving more slowly than you are actually moving (by a factor of 25.4)

ALSO, Why are there not specific instructions regarding the radius at which to place the magnet and the sensor on a bike wheel?

It is assumed that the sensor will be placed on the circumference of the wheel.

The speedometer measures the angular speed of the wheel. All points on the wheel have the same angular speed, so any radial position of the sensor will work.

The sensor measures the speed of the magnet. The magnet will move at the same speed regardless of its radial position.

Last, This speedometer can display the distance that the bike has traveled. But the speedometer does not directly measure the distance traveled. Rather, it measures the number of times that the wheel has turned. How can one calculate the distance the bike has traveled given the number of times that the wheel has turned? (Let N be the number of times the wheel has turned, x be the distance the bike has traveled, and r be the radius of the wheel.)

The speedometer would tell you that you are moving faster than you are actually moving (by a factor of 25.4)

The reading would not be affected. The speedometer would give the rider a correct reading.

c. The speedometer would tell you that you are moving more slowly than you are actually moving (by a factor of 25.4)

ALSO, Why are there not specific instructions regarding the radius at which to place the magnet and the sensor on a bike wheel?

It is assumed that the sensor will be placed on the circumference of the wheel.

The speedometer measures the angular speed of the wheel. All points on the wheel have the same angular speed, so any radial position of the sensor will work.

The sensor measures the speed of the magnet. The magnet will move at the same speed regardless of its radial position.

Explanation / Answer

1 inch = 25.4 mm

So inch is greater than mm...

hence the a.   

The speedometer would tell you that you are moving faster than you are actually moving (by a factor of 25.4)

=====================================================

    b.   

The speedometer measures the angular speed of the wheel. All points on the wheel have the same angular speed, so any radial position of the sensor will work.

======================================

per one rotation the disatnce travelled is 2*pi*r

for N rotations the distance moved is N*2*pi*r

So teh answer is a) x equals 2*pi*r*N

Related Questions

Navigate

• Browse (All)
• Browse L
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.