Question: The angular position of a point on a rotating wheel is given by = 2.0 + 4.0t2 + 4.0t3, where is in radians

The angular position of a point on a rotating wheel is given by θ = 2.0 + 4.0t2 + 4.0t3, where θ is in radians and t is in seconds. At t = 0, what are?

(a) The point's angular position and

(b) Its angular velocity?

(d) Calculate its angular acceleration at t = 2.0 s.

(e) Is its angular acceleration constant?

Step by Step Solution

★★★★★

3.34 Rating (157 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

If we make the units explicit the function is 0 20 rad 40 rads t 20 rads bu... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

2-P-M-R-M (219).docx

120 KBs Word File

Students Have Also Explored These Related Mechanics Questions!

The angular position of a point on the rim of a rotating wheel is given by = 4.0t - 3.0t2+ t3, where is in radian and t is in seconds. What are the angular velocities at? (a) T = 2.0 s and (b) T =...

A point on a rotating object has an initial angular velocity wo and rotates with an angular acceleration ao for a time interval from t = 0 to time t = to. The point then rotates at a constant angular...

The angular position of a pendulum is represented by the equation = (0.320 rad) cos wt, where is in radians and w = 4.43 rad/s. Determine the period and length of the pendulum.

Calculate the rotational inertia of a meter stick, with mass 0.513 kg, about an axis perpendicular to the stick and located at the 15.1 cm mark. (Treat the stick as a thin rod.) Number i UnitsA disk,...

QUESTION 1 A wheel of diameter 40.0 cm starts from rest and rotates with a constant angular acceleration of 3.00 rad/s. At the instant the wheel has computed its second revolution, calculate the...

1. The angular position of a point on a rotating wheel is given by: 0 = 19.77 + 5 t - 2.0t2 + 9 to where 0 is in radians and t in seconds. How many revolutions did the wheel make at t = 3.0 s? Note...

Physics Content Covered: Ch 10 Rotation 10.1 Rotational Variables 10.2 Rotation with Constant Angular Acceleration 10.5 Calculating the Rotational Inertia 10.7 Newton's Second Law for Rotation Ch 12...

Question 3 of 10 - / 10 WN - View Policies Current Attempt in Progress A disk, initially rotating at 125 rad/s, is slowed down with a constant angular acceleration of magnitude 4.30 rad/s. (a) How...

The angular position of a point on a rotating wheel is given by 0 = 5.82 +3.00t2 + 1.66t3, where is in radians and t is in seconds. At t = 0, what are (a) the point's angular position and (b) its...

Current Attempt in Progress The angular position of a point on a rotating wheel is given by = 1 . 5 6 + 3 . 2 9 t 2 + 3 . 0 2 t 3 , where is in radians and t is in seconds. At t = 0 , what are ( a )...

The following transactions are for Masland Company. 1. On December 3, Masland Company sold $500,000 of merchandise to Parker Co., terms 1/10, n/30. The cost of the merchandise sold was $330,000. 2....

A herd of lemmings is standing at the top of a cliff, and each jumps off with probability 0.2 each hour. What is the probability that a lemming first jumps on the fifth hour? What is the probability...

Please help with writing the matrix representation equivalent of the following DAC system represented in a linked - list format. ASAP

What are the benefits of potassium as a fertilizer?

JDS Shipyard's projected benefit obligation, accumulated benefit obligation, and plan assets were $55 million, $45 million, and $28 million, respectively, at the end of the year. a. What, if any,...

Manufacturers Southern leased high-tech electronic equipment from Edison Leasing on January 1, 2021. Edison purchased the equipment from International Machines at a cost of $127,024. (FV of $1, PV of...

Pension plan assets were $1,000 million at the beginning of the year and $1,074 million at the end of the year. At the end of the year, retiree benefits paid by the trustee were $24 million and cash...

(c) In order to avoid excessively high stress in the pipeline during valve closure, it is proposed that the time to fully close the valve is not shorter than 15 s. Is this a safe closure time given...

The combustion of 1.010 g sucrose, C 12 H 22 O 11 , in a bomb calorimeter causes the temperature to rise from 24.92 to 28.33 C. The heat capacity of the calorimeter assembly is 4.90 kJ/C. (a) What is...

The barge weighs 45 000 lb and supports two automobiles A and B which weigh 4000 lb and 3000 lb, respectively, if the automobiles start from rest and drive towards each other, accelerating at BA = 4...

The barge B weighs 30 000 lb and supports and automobile weighing 3000 lb. if the barge is not tied to the pier P and someone drives the automobile to the other side of the barge for unloading...

The block A has a mass of 2 kg and slides into an open ended box B with a velocity of 2 m/s. If the box has a mass of 3 kg and rests on top of a plate P that has a mass of 3 kg, determine the...

Assume Dave borrowed $ 2 2 0 on his personal line of credit. Interest is charged at a rate of 1 0 percent, but calculated on a daily basis. Dave is required to pay a minimum of 5 percent of the...

Use the following information on states of the economy and stock returns to calculate the standard deviation of returns. Assuming that all three states are equally likely (Do not round intermediate...

2. Calculator settings Payments Per Year, P/Y The calculator is preset for 1 payment per year (P/Y=1). If you tell the calculator there are 5 $100 payments, it assumes there are $100 annual payments...