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An athlete in a gym applies a constant force of 50 N to the pedals of a bicycle to keep the rotation rate of the wheel at 10 rev

marishachu [46]

Answer:

Explanation:

Given that,

Force applied to pedal F = 50N

Angular velocity ω = 10rev/s

We know that, 1rev = 2πrad

Then, ω = 10rev/s = 10×2π rad/s

ω = 20π rad/s

Length of pedal r = 30cm = 0.3m

Power?

Power is given as

P = τ×ω

We need to find the torque τ

τ = r × F

Since r is perpendicular to F

Then, τ = 0.3 × 50

τ = 15 Nm

Then,

P = τ×ω

P = 15 × 20π

P = 942.48 Watts

power delivered to the bicycle by the athlete is 942.48 W

6 0

3 years ago

Working Together

Ganezh [65]

Answer:

Government & Public Administration

Jobs in the government and public administration career cluster involve planning, managing, and providing government legislative and administrative and regulatory services and related general purpose government services at the federal, state, and local levels.

This career cluster is divided into seven pathways:

Governance

National Security

Foreign Service

Planning

Revenue and Taxation

Regulation

Public Management and Administration

Governance

Officials involved in the governance pathway uphold the structure of our government. They typically work with constituents, or voters represented by elected officials; while others resolve conflicts among interest groups with opposing goals.

Sample occupations include:

Legislative Assistant

Congressional Aide

Lobbyist

County Commissioner

Senator

Representative

Mayor

Governor

Lieutenant Governor

National Security

Maintaining a strong national security encompasses such diverse activities as running a hospital, commanding a tank, programming computers, operating a nuclear reactor, or repairing and maintaining a helicopter. The military provides training and work experience in these fields and many others for more than 2.5 million people who serve in the active Army, Navy, Marine Corps, Air Force, and Coast Guard, their Reserve components, and the Air and Army National Guard.

Sample occupations include:

Combat Control Officer

Missiles and Space Systems Officer

Submarine Officer

Munitions Officer and Specialist

Infantry Officer and Specialist

Air Defense Artillery Officer

Military Intelligence Officer

Cryptographer

Intelligence Analyst

Foreign Service

People working in the Foreign Service pathway help to ensure peaceful relations between the U.S. and foreign countries. They also aid immigrants wanting to live and/or work in the U.S. These people serve mainly in embassies, consulates, diplomatic missions, and in Washington, D.C.

Sample occupations include:

Foreign Service Officer

Diplomatic Officer

Consular Officer

Ambassador

Diplomatic Courier

Planning

People who work in the Planning pathway develop long- and short-term land use plans to provide for growth and revitalization of urban, suburban, and rural communities, while helping local officials make decisions concerning social, economic, and environmental issues.

Sample occupations include:

Planner

Census Enumerator

Census Clerk

Federal Aid Coordinator

Economic Development Coordinator

Chief of Vital Statistics

Revenue and Taxation

People who work in the Revenue and Taxation pathway ensure that governments obtain revenue from businesses and citizens by collecting audits, monitoring taxes payable and collecting overdue tax dollars.

Sample occupations include:

Tax Examiner

Tax Clerk

Revenue Agent

Internal Revenue Investigator

Assessor

Auditor

Regulation

People who work in the Regulation pathway will typically possess a body of technical knowledge about an industry, the environment, or technology. This –coupled with a knowledge of related laws, rules, and regulatory systems –permit regulators to protect our health, safety, and environment as well as ensure the integrity of our financial, transportation, and public utility industries.

Sample occupations include:

Investigator/ Examiner

Code Inspector

Bank Examiner

Election Supervisor

Child Support Officer

Cargo Inspector

Border Inspector

Aviation Safety Officer

Public Management and Administration

Government agencies and public corporations and trusts have specific and rigorous standards for the stewardship of public resources. Public management careers will require technical skills related to budgeting, personnel management, procurement or other activities, and specific knowledge of the regulations and other policies that govern public management.

Sample occupations include:

Court Administrator or Clerk

City or County Clerk

City Council Member

City Manager

Purchasing Manager

Explanation:

correct me if I'm wrong

4 0

2 years ago

Given a force of 100 N and acceleration of 5 m/s2, what is the mass

tatyana61 [14]

Answer:

20 kg

Explanation:

remember the equation f=ma.

100 N=force

5 m/s2= acceleration

so you need to divide force by acceleration: 100 N/ 5 m/s2= 20 kg, to get the mass.

8 0

2 years ago

How to buy followers in insta <br><br> Because nothing <br> I just wanted to know

iren [92.7K]

No...........................................................................Work for them urself

7 0

3 years ago

Read 2 more answers

A 175-kg roller coaster car starts from rest at the top of an 18.0-m hill and rolls down the hill, then up a second hill that ha

Anni [7]

Answer:

The work done by non-conservative forces on the car from the top of the first hill to the top of the second hill is 6574.75 joules.

Explanation:

By Principle of Energy Conservation and Work-Energy Theorem we present the equations that describe the situation of the roller coaster car on each top of the hill. Let consider that bottom has a height of zero meters.

From top of the first hill to the bottom

$m\cdot g \cdot h_{1} = \frac{1}{2}\cdot m\cdot v_{1}^{2} +W_{1, loss}$ (1)

From the bottom to the top of the second hill

$\frac{1}{2}\cdot m\cdot v_{1}^{2} = m\cdot g \cdot h_{2} + \frac{1}{2}\cdot m \cdot v_{2}^{2}+W_{2,loss}$ (2)

Where:

$m$ - Mass of the roller coaster car, in kilograms.

$v_{1}$ - Speed of the roller coaster car at the bottom between the two hills, in meters per second.

$g$ - Gravitational acceleration, in meters per square second.

$h_{1}$ - Height of the first top of the hill with respect to the bottom, in meters.

$W_{1, loss}$ - Work done by non-conservative forces on the car between the top of the first hill and the bottom, in joules.

$v_{2}$ - Speed of the roller coaster car at the top of the second hill, in meters per seconds.

$h_{2}$ - Height of the second top of the hill with respect to the bottom, in meters.

$W_{2, loss}$ - Work done by non-conservative forces on the car bewteen the bottom between the two hills and the top of the second hill, in joules.

By using (1) and (2), we reduce the system of equation into a sole expression:

$m\cdot g\cdot h_{1} = m\cdot g\cdot h_{2} + \frac{1}{2}\cdot m \cdot v_{2}^{2} + W_{loss}$ (3)

Where $W_{loss}$ is the work done by non-conservative forces on the car from the top of the first hill to the top of the second hill, in joules.

If we know that $m = 175\,kg$ , $g = 9.807\,\frac{m}{s^{2}}$ , $h_{1} = 18\,m$ , $h_{2} = 8\,m$ and $v_{2} = 11\,\frac{m}{s}$ , then the work done by non-conservative force is:

$W_{loss} = m\cdot\left[ g\cdot \left(h_{1}-h_{2}\right)-\frac{1}{2}\cdot v_{2}^{2} \right]$

$W_{loss} = 6574.75\,J$

The work done by non-conservative forces on the car from the top of the first hill to the top of the second hill is 6574.75 joules.

8 0

3 years ago