Question

In: Physics

Suppose you start riding your bicycle from rest, and the wheels reach an angular speed of...

Suppose you start riding your bicycle from rest, and the wheels reach an angular speed of 354 rpm in 5.4 seconds. How many complete revolutions do the wheels make in this time?

Expert Solution

Initial angular speed of the wheels = ₁ = 0 rad/s

Angular speed of the wheels after 5.4 sec = ₂ = 354 rpm = 354 x (2/60) rad/s = 37.071 rad/s

Time period = T = 5.4 sec

Angular acceleration of the wheel =

₂ = ₁ + T

37.071 = 0 + (5.4)

= 6.865 rad/s²

Angle through which the wheels rotate in 5.4 sec =

₂² = ₁² + 2

(37.071)² = (0)² + 2(6.865)

= 100.1 rad

Number of revolutions made by the wheel in 5.4 sec = n

n = 15.93 rev

Number of revolutions made by the wheel in this time = 15.93 rev

genius_generous answered 1 year ago

A person is riding a bicycle, and its wheels have an angular velocity of 22.0 rad/s....

A person is riding a bicycle, and its wheels have an angular velocity of 22.0 rad/s. Then, the brakes are applied and the bike is brought to a uniform stop. During braking, the angular displacement of each wheel is 12.9 revolutions. (a) How much time does it take for the bike to come to rest? (b) What is the anguar acceleration (in rad/s2) of each wheel?

You are thrown from a bicycle while riding at speed on a gravel road. Immediately you...

You are thrown from a bicycle while riding at speed on a gravel road. Immediately you start bleeding from several places where the gravel cut through your epidermis into your dermis and broke numerous blood vessels. Your body's first response to this injury is to begin the process known as [a]. This process has three steps. [b]: the [e] in the tunica media of your damaged blood vessels begins to contract, [f] blood flow to this portion of vessel, in...

You are riding your bicycle directly away from a stationary source of sound and hear a...

You are riding your bicycle directly away from a stationary source of sound and hear a frequency that is 0.7% lower than the emitted frequency. The speed of sound is 346 m/s. What is your speed?

A compact disc rotates from rest up to an angular speed of 34.3 rad/s in a...

A compact disc rotates from rest up to an angular speed of 34.3 rad/s in a time of 0.867 s. (a) What is the angular acceleration of the disc, assuming the angular acceleration is uniform? rad/s2 (b) Through what angle does the disc turn while coming up to speed? rad (c) If the radius of the disc is 4.45 cm, find the tangential speed of a microbe riding on the rim of the disc. m/s (d) What is the magnitude...

Suppose that producing a bicycle generates no environmental degradation, while buying and riding a bicycle (consumption)...

Suppose that producing a bicycle generates no environmental degradation, while buying and riding a bicycle (consumption) help reduce greenhouse gas emissions. In contrast, producing, buying and driving a car do generate greenhouse gas emissions. Based on this information, for each economic activity, first discuss whether there is externality and what type of externality it is and explain why (e.g., production/consumption of cars/bicycles leads to positive/negative/no production/consumption externality because … … …). When explaining your reasoning, make sure you relate your...

Suppose that producing a bicycle generates no environmental degradation, while buying and riding a bicycle (consumption)...

Suppose that producing a bicycle generates no environmental degradation, while buying and riding a bicycle (consumption) help reduce greenhouse gas emissions. In contrast, producing, buying and driving a car do generate greenhouse gas emissions. Based on this information, for each economic activity, first discuss whether there is externality and what type of externality it is and explain why(e.g., production/consumption of cars/bicycles leads to positive/negative/no production/consumption externality because … … …). When explaining your reasoning, make sure you relate your specific...

Suppose that producing a bicycle generates no environmental degradation, while buying and riding a bicycle (consumption)...

Suppose that producing a bicycle generates no environmental degradation, while buying and riding a bicycle (consumption) help reduce greenhouse gas emissions. In contrast, producing, buying and driving a car do generate greenhouse gas emissions. Based on this information, for each economic activity, first discuss whether there is externality and what type of externality it is and explain why (e.g., production/consumption of cars/bicycles leads to positive/negative/no production/consumption externality because … … …). When explaining your reasoning, make sure you relate your...

Harvey is riding his bicycle, no-handed, and at a very fast speed down a park path....

Harvey is riding his bicycle, no-handed, and at a very fast speed down a park path. Trish, a jogger, accompanied by her dog, Rover on a leash is approaching Harvey from the other direction. Because he knows that he is bigger and faster on his bike, Harvey expects Trish to move out of his way. Unfortunately, Trish does not and as Harvey passes Trish, he side-swipes her knocking her to the ground and injuring her. Rover is inadvertently released when...

A bicyclist starting at rest produces a constant angular acceleration of 1.6 rad/s^2 for wheels that...

A bicyclist starting at rest produces a constant angular acceleration of 1.6 rad/s^2 for wheels that are 38 cm in radius. What is the bicycles linear acceleration? What is the angular speed of the wheels when the bicyclist reaches 11m/s? How many radians have the wheels turned through in that time? How far has the bicycle traveled?